Unit 4 Test Retake (Alg 1)

Function p represents the number of people in the library on a Monday as a function of hours since the library opened.

Based on the graph and the situation, which domain and range make sense for function p?

• Domain: all numbers from 0 to 85. Range: all numbers from 0 to 14.

• Domain: whole numbers only from 0 to 14. Range: whole numbers only from 0 to 85.

• Domain: all numbers from 0 to 14. Range: whole numbers only from 0 to 85.

• Domain: whole numbers only from 0 to 14. Range: all numbers from 0 to 85.

Which equation represents the function?

• $f\left(x\right)=\left|x\right|-1$

• $g\left(x\right)=\left|x-1\right|$

• $h\left(x\right)=\left|x+1\right|$

• $j\left(x\right)=\left|x\right|+1$

Tags

CCSS.HSF-IF.C.7D

The equation m = 40g gives the distance in miles, m, that a car can travel using g gallons of gas.

If the car has gone 140 miles, how many gallons of gas were used?

*ONLY ENTER THE NUMBER. DO NOT INCLUDE UNITS*

(a)  

Tags

CCSS.6.EE.B.7

Which equation represents the inverse function: the gallons of gas as a function of distance in miles?

*Hint: Solve m = 40g for g.

• $g=40m$

• $g=\frac{m}{40}$

• $m=\frac{g}{40}$

• $g=\frac{40}{m}$

Tags

CCSS.HSF-BF.B.4A

Function c is defined by the equation c(n) = 50 + 4n. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n.

In this situation, what information would the inverse function give us?

• It gives us the number of gym visits as a function of the cost.

• It gives us the cost as a function of the number of gym visits.

Tags

CCSS.HSF-BF.B.4A

What is the inverse function of: c(n) = 50 + 4n?

• $n=50+4c\left(n\right)$

• $\frac{50-c\left(n\right)}{4}=n$

• $4\left(c\left(n\right)-50\right)=n$

• $\frac{c\left(n\right)-50}{4}=n$

Tags

CCSS.HSF-BF.B.4A

If c(n) = 50 + 4n, what is the value of c(7)?

*ENTER ONLY THE NUMBER*

(a)  

Tags

CCSS.HSF.IF.A.2

Function c is defined by the equation c(n) = 50 + 4n. It gives the cost, in dollars, of visiting a gym as a function of the number of visits, n.

If c(4) = 66, then 4 represents:

• the number of gym visits

• the total cost

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Function c is defined by the equation c(n) = 50 + 4n. It gives the cost, in dollars, of visiting a gym as a function of the number of visits, n.

If c(4) = 66, then 66 represents:

• the number of gym visits

• the total cost

Tags

CCSS.HSF.IF.A.2