3.3 Practice - Piecewise Functions
Find the value of the given function at the indicated domain value.
-X2 - 5x + 2, x < 1
2x2 - 2x + 1,
xs-6
g(x) = x3 - 5x, 1 < x < 11
h) =
3x – x3 -3
3x - 16,
X > 11
(2x - (x - 100
x > 1
1. g(1) =
2. g(11) =
3. h(5) =
4 h(-10) =
5. g(-1) =
6. h(0) =
7. g(20) =
8. h(-4)=
Answers
Answer:
Step-by-step explanation:
1. g(1) = (1)³ - 5(1) = - 4
2. At x = 11 function g(x) is not defined,
3. h(5) = 2(5) - | 5 - 10 | = 5
4 h( - 10) = 2( - 10)² - 2(- 10) + 1 = 221
5. g(- 1) = - (- 1)² - 5(- 1) + 2 = - 1 + 5 + 2 = 6
6. h(0) = 3(0) - (0)³ = 0
7. g(20) = - √[3(20) - 16] = - 2√11
8. h(- 4) = not defined
The value of each function is shown below.
What is Function?A function is an expression, rule, or law in mathematics that describes a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are common in mathematics and are required for the formulation of physical relationships in the sciences.
From the given function we can find the values as:
g(1) = x³ - 5x
g(1) = 1³ -5 = -4
2. For x= 11 the function g(x) is not defined.
3. h(5) = 2x - |x -10|
h(5) = 4
4. h(-10) = 2x² - 2x + 1
h(-10) = 221
5. g(-1) = -x² -5x + 2
g(-1) = 6
6. h(0) = 3(0) - (0)³
h(0) = 0
7. g(20) = - √[3(20) - 16]
g(20) = - 2√11
8. h(- 4) is not defined for the function h(x).
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Related Questions
Andrea has 8 books on her summer reading list . She has read 5 out of the 8 books.what percent does she have left to read! Pls help ASAP!!
Answers
Answer:
3 percent because 8-5=3
Step-by-step explanation:
Answer:
37.5%
Step-by-step explanation:
What did philosophical pig say?
(Geometry Version)
Answers
Answer:
A: m<BOD = 95°
O: m<AOC = 75°
R: m<AOD = 113°
T: m<GUH = 61°
M: m<GUI = 92°
E: m<EUF = 37°
F: m<EUI = 160°
K: m<MAN = 30°
I: m<LAM = 40°
S: m<KAM = 80°
H: m<JAN = 140°
N: m<KAN = 110°
✅I STINK THEREFORE I HAM
Step-by-step explanation:
A: m<BOD = 57° + 38° = 95°
O: m<AOC = 18° + 57° = 75°
R: m<AOD = 18° + 57° + 38° = 113°
T: m<FUG = 31°, since, FUG ≅ HUI, therefore, m<HUI = 31°
m<FUI = 123°
m<GUH = m<FUI - (m<FUG + m<HUI)
m<GUH = 123° - (31° + 31°)
m<GUH = 61°
M: m<GUI = m<GUH + HUI
m<GUI = 61° + 31°
m<GUI = 92°
E: m<EUH = 129° (given)
m<EUF = m<EUH - (m<FUG + m<GUH)
m<EUF = 129° - (31° + 61°)
m<EUF = 37°
F: m<EUI = m<EUF + m<FUG + m<GUH + m<HUI
m<EUI = 37° + 31° + 61° + 31°
m<EUI = 160°
K: since <JAK ≅ <MAN, and m<JAK is given as 30°, therefore,
m<MAN = 30°
I: m<JAM = 110° (given), m<JAK = 30° (given)
Since <KAL ≅ <LAM, therefore,
m<LAM = ½(m<JAM - m<JAK)
m<LAM = ½(110° - 30°)
m<LAM = 40°
S: m<KAM = m<KAL + m<LAM
Since <KAL ≅ <LAM, therefore,
m<KAM = 40° + 40°
m<KAM = 80°
H: m<JAN = m<JAK + m<KAL + m<LAM + m<MAN
m<JAN = 30° + 40° + 40° + 30°
m<JAN = 140°
N: m<KAN = m<KAL + m<LAM + m<MAN
m<KAN = 40° + 40° + 30
m<KAN = 110°
Place the letters on the appropriate lines given to match the angle measure we've cakcukated, to figure out the joke.
✅We would have:
I STINK THEREFORE I HAM
The Miller's are comparing babysitting services for their two children.
The Babysitter's Block charges a rate of $15 an hour per child plus an initial fee of $25 per household.
Super Sitters charges a flat rate of $20 an hour per child.
For ________hours of service, both babysitting services would cost the same.
Answers
Answer:
After 5 hours of service, both babysitting services would cost the same.
Step-by-step explanation:
Babysitter's Block: y = 15x + 25
Super Sitters: y = 20x
15x + 25 = 20x
Subtract 15x from both sides;
25 = 5x
Divide both sides by 5;
x = 5
For 5 hours of service, both babysitting services would cost the same.
Stefan sells Jin a bicycle for $163 and a helmet for $17. The total cost for Jin is 150% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend originally? How much money did he make by selling the bicycle and helmet to Jin? Stefan originally spent $
Answers
Answer:
44$
Step-by-step explanation:
Answer:
Answer
5.0/5
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The selling cost for Stefan bicycle = $114 and
the selling cost of a helmet = $18.
The total cost for Jin is 120% of the money spent.
Let us assume purchasing cost of a bicycle = $x.
Purchasing cost of a halmet = $y.
For bicycle
120% of x is $114
=> 1.20 × x = 114
Dividing both sides by 1.20, we get
x=$95.
For helmet.
120% of y is $18.
=> 1.20 × y = 18.
Dividing both sides by 1.20, we get
y = $15.
Therefore, Stefan spent originally to buy a bike $95 and $15 to buy a helmet.
$114 - 95 = $19
$18 - 15 = $3.
Therefore, he made $19 by selling the bicycle and $3 by selling the helmet to Jin.
Step-by-step explanation:
What is the standard form of y –7 = – 23 (x + 1)
Answers
Answer:
23x+y=-16
Step-by-step explanation:
So far this month Raul calculated that he will earn $30 in commission for his $200 in product sales. If Raul would like for his commission to be $132, how much MORE does he need in sales?
a. $102
b. $880
c. $588
D. 680
Answers
Answer:
D. 680
Step-by-step explanation:
write the polynomial on descending order
[tex]2 {x}^{5 } + 14 - 3 {x}^{4 } \times 7x + 3x ^{3} [/tex]
Answers
Answer:
jkjjjjjjujhhhgvvvvvgvhjjhhhgvvg
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Jerry read a 200 page book in 10 hours. At that rate, how long will it take him to read a 320 page book?
16 hours
18 hours
24 hours
32 hours
A model of a park was built on a scale of 1.5 cm to 50 m. If the distance between two trees in the park is 150m, what is this distance on the model? *
0.5 cm
4.5 cm
75 cm
225 cm
The practice range at a golf course charges $4.00 for a bucket of 40 golf balls. At this rate, how much will a bucket of 100 golf balls cost? *
$10.00
$10.50
$13.50
$16.00
Answers
Step-by-step explanation:
1. 200 = 10h
320 =
320x10 / 200
= 16h
2. 1.5 = 50m
x = 150 m
150x1.5 / 50
= 4.5cm
3. 4$ = 40balls
x = 100balls
100x4 / 40
= $10
Hope this helps. I was to lazy to do the others.
H = (0.24)I^2Rt, solve for R.
Answers
Answer:
Step-by-step explanation:
Mr. Earl E. Bird leaves his house for work at exactly 8:00 a.m. every morning. When
he averages 40 miles per hour, he arrives at his workplace three minutes late. When
he averages 60 miles per hour, he arrives three minutes early.
Answers
Answer:
50 miles per hour
Step-by-step explanation:
if 40 makes him 30 mins late and 60 makes him 30 mins early then it only would make since that in between both 40 and 60 is 50 and that would make him go on time
*i had trouble wording that so yeah sorry about that*
5. Veronika works at Future Shop and earns $10.50/h plus 6% commission on sales. Last week Veronika worked 40
hours. What was Veronika's weekly gross salary if her total sales were $2050?
Answers
f(x)=-x^3 find the end behavior of function
Answers
Answer:
What is X its fiesty
Step-by-step explanation:
fdsfa
Function and Linear question look at the image
I will give brainliest if correct
Answers
is: nonlinear
ANSWER IT OR ELSE JAMES CHARLES
Answers
Answer:
Hiiiiii sisterrrrs!!!!
Step-by-step explanation:
Answer:
HI SisTErS!
Step-by-step explanation:
Identify a pair of Alternate Exterior Angles
Answers
Answer:
Angles 6 and 3. Hopefully this helps.
PLEASEE HELP IM BEGGING YOU
Answers
Answer: god it's hard, but i will try
How long is 10% of a 2,000 kilometer trip
Answers
Answer:
200 kilometers
Step-by-step explanation:
10% is the same thing as 1/10 and 2000x1/10 is 200
PLEASE HELP ME! THANK YOU !!
Answers
Doamin of the function
inf
solve 7x -2 + 10x + x + 6x
Answers
Let's simplify step-by-step.
7x−2+10x+x+6x
=7x+−2+10x+x+6x
Combine Like Terms:
=7x+−2+10x+x+6x
=(7x+10x+x+6x)+(−2)
=24x+−2
Answer:
=24x−2 <----
Answer:
probably 24x-2
Step-by-step explanation:
combine like terms
I need help with this problem
Answers
Bert is saving money to buy a new phone that costs $153.66, including tax. He does yard work around his neighborhood to earn money. He charges $9.85 per hour.
Part B:
How many hours will Bert have to work to earn enough money to buy the phone?
Answers
Answer:
4.57
Step-by-step explanation:
Could you take sometime to help me on this please?
Answers
ANSWER = -1
hi, take x = -1
[tex]-1\leq -1 \ so \ x\leq -1 \\ \\\text{ BUT } x^3=-1 < -1 \text{ is wrong}[/tex]
Thanks
Answer:
the answer is -1
...............
help will brainlist...
Answers
Answer:
1)
a. $6
b.$10
c. 2x
d. $3
e. $9
f. 2y
g. $22
h. $21.5
i. 2x + 1.5y
2)
a. 2x + 1.5y = 22
b. You could buy 2 tickets and 12 snacks
Step-by-step explanation:
Find two positive integers such that their sum is 10, and minimize and maximize the sum of their squares.
Answers
Two numbers whose sum is 10 is required.
The answer is
Minimum: 5, 5
Maximum: 9, 1
Let [tex]x[/tex] and [tex]y[/tex] be two numbers
[tex]x+y=10\\\Rightarrow y=10-x[/tex]
The sum of the squares would be
[tex]x^2+y^2=x^2+(10-x)^2\\ =2x^2-20x+100[/tex]
[tex]f(x)=2x^2-20x+100[/tex]
Differentiating with respect with x
[tex]f'(x)=4x-20[/tex]
Equating with zero
[tex]4x-20=0\\\Rightarrow x=\dfrac{20}{4}\\\Rightarrow x=5[/tex]
Double derivative of f(x)
[tex]f''(x)=4[/tex]
[tex]f''(x)>0[/tex]
So, at [tex]x = 5[/tex] the value of the function is minimum.
Therefore, at [tex]x=5[/tex] and [tex]y=10-5=5[/tex] the function has minimum value of [tex]5^2+5^2=50[/tex]
For the finding the maximum values of [tex]x[/tex] and [tex]y[/tex] we have to use trial and error method
[tex]9^2+1^2=82[/tex]
[tex]8^2+2^2=68[/tex]
[tex]7^2+3^2=58[/tex]
[tex]6^2+4^2=52[/tex]
0 and 10 will not be considered as 0 is neither positive nor negative.
So, the maximum value of the numbers is 9 and 1 and the maximum value of the function is 82.
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Five years ago, John’s age was half of the age he will be in 8 years. How old is he now? Show your steps.
Answers
Answer:
John is 18 years old at this point in time.
Step-by-step explanation:
This question is basic algebra. The equation you will need to write to solve it is (x-5) = (x+8)/2. When you solve this equation, the answer comes out to 18.
You move left 3 units and down 2 units. You end at (0, -1). Where did you start?
Answers
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Suppose i started from ( x , y ) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
So ;
3 units left :
[tex]x - 3 = 0[/tex]
Add sides 3
[tex]x = 3[/tex]
_________________________________
2 units down :
[tex]y - 2 = - 1[/tex]
Add sides 2
[tex]y = 1[/tex]
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Thus i started from ( 3 , 1 ) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Triangle ABC is transformed to triangle A′B′C′, as shown below:
Which equation shows the correct relationship between the measures of the angles of the two triangles? (1 point)
a
The measure of angle ABC = The measure of angle A prime B prime C prime
b
The measure of angle ABC = The measure of angle B prime C prime A
c
The measure of angle BCA = The measure of angle A prime B prime C prime
d
The measure of angle BCA = The measure of angle C prime A prime B prime
Answers
Answer:
d one i think
hope it helps
the sum of triangle is 180 degree
PLEASE HELP ME! WILL MARK BRAINLIST!!!!
Answers
Answer:
Yes, {9,−1,−2,−4},{9,−1,−5,5}
Step-by-step explanation:
Since there is one value of y for every value of x in ((9,9),(−1,−1),(−2,−5),(−4,5)), this relation is a function. The relation is a function.
The domain is the set of all the values of . The range is the set of all the values of
y.Domain:{9,−1,−2,−4}Range:{9,−1,−5,5}
<3
find the lowest degree polynomial that has vertical asymptotes at x=2,3 goes through the points (-2,0), and (-3,0) and has a horizontal tangent at y=2
Answers
Answer:
is there multiple choices
What is the solution to the equation 23(y−6)=−(y+2)+1 2 3 ( y - 6 ) = - ( y + 2 ) + 1 ?
Answers
Answer:
Substitute the given value into the function and evaluate.
23 (y − 6) = −(y + 2) + 1 = y = 137/24
2 = y = 137/24
3 = y = 137/24
y − 6 = −(y + 2) + 1 = y = 5/2