Q10.07-Retake - Functions (T1&T2)

Explain how the vertical line test shows a graph is NOT a function?

 $Given\ f\left(x\right)=\frac{1}{2}\left(x+6\right)\ what\ is\ f\left(-8\right)?$  

Enter your answer as a number only.

Tags

CCSS.HSF.IF.A.2

A plumber charges $50 for a service call plus $25 per hour of service. Write a function using function notation. What will be the total cost for 8 hours of work?

• C(h) = 50h + 25

• C(h) = 25h + 50

• 250

• 425

• 400

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Rufus collected 100 pounds of aluminum cans to recycle. He plans to collect an additional 25 pounds each week. Write a function using function notation to represent this situation. Determine what f(12) equals for this situation.

• P(w) = 100w + 25

• 400

• 1,225

• P(w) = 25w + 100

• 300

Tags

CCSS.HSF-BF.A.1A

What is a reasonable domain of the function?

• 0 < h < 10

• 0 ≤ h ≤ 10

• 0 ≤ t ≤ 10

• 0 < t < 10

What is a reasonable range of the function?

• 0 ≤ h ≤ 6

• 0 ≤ h ≤ 99

• h < 6

• h ≤ 99

Sam wanted to know if the color of the chair you sat in when taking a test affected your test grade. What is the independent variable?

• Color or chair

• Grade on test

• Age of students

• Height of chair

A team from the Department of Public Works is painting lines on the freeway. The number of hours needed to finish the project depends on the length of road that needs to be lined. What is the dependent variable?

h = the number of hours needed

r = the length of road

• h is the dependent variable and r is the dependent variable

• r is the dependent variable and h is the dependent variable

Tags

CCSS.6.EE.C.9

Give the domain of the set of ordered pairs: 

{(2, 11), (9, -3), (7, 21), (-8, 6)}

• $\left\{-8,\ 2,\ 7.9\right\}$

• $\left\{-3,\ 6,\ 11,\ 21\right\}$

• $-8<x<9$

• $-3<y<21$

Fireworks are fired from the roof of a 100-foot building. The function h(t) = -16t² +84t + 100 models the height, h, of the fireworks at any given time, t. Determine h(3). Explain what your answer represents.