Unit 3, 4, & 6 Reassessment

The ordered pairs below represent a function.

{(−4, 2),(−2, 1),(0, 0),(2,−1)}

• {−4,−2, 0, 2}

• {0, 0, 1, 2, 2}

• {−4,−1,−2, 0, 1, 2}

• {−1, 0, 1, 2}

What is the range of this function?
 $f\left(x\right)=\frac{1}{2}x+4$  

• all numbers less than or equal to 4  $y\le4$  

• all real numbers  $\left(-\infty,\infty\right)$  

• all positive numbers $y\ge1$  

• all numbers greater than or equal to 1 $y\ge1$  

Bryan has a prepaid cell phone with a balance of $75. He is charged the same rate per minute.

After 1 minute, his balance is $74.

After 2 minutes, his balance is $73.

After 3 minutes, his balance is $72.

Which function represents the balance on the phone after n minutes?

• $A\left(n\right)=n$

• $A\left(n\right)=-n+75$

• $A\left(n\right)=n+75$

• $A\left(n\right)=-n+76$

Adam is given the following sequence.
10, 20, 40, 80, . .
The function representing this sequence is  $g\left(x\right)=5\left(2\right)^x$  
What is the domain of this function? hint: remember the domain of all sequences. 

• {1, 2, 3, 4, 5, . . .}

• {0,1, 2, 3, 4, . . .}

• {5, 10, 20, 40, 80, . . .}

• {. . ., –2, –1, 0, 1, 2, . . .}

The table below shows some values of a function. Which of the following BEST shows the values in the domain when the function is increasing? hint: increasing functions  $x\uparrow y\uparrow$  

• between 6 and 9

• between 3 and 6

• between 3 and 9

• between 0 and 6

Johanna has a tricycle. The following graph shows the distance she pedals over time. What is her speed? hint:  $speed=\frac{dis\tan ce}{time}$  (slope)

• 180 ft/min

• 90 ft/min

• 270 ft/min

• 60 ft/min

The height of a hot air balloon over time is shown in the

following table. Which statement is true? hint: slope

• The hot air balloon is at a constant height of 100 ft/min.

• The hot air balloon is traveling horizontally at a rate of

  100 ft/min.

• The hot air balloon is rising at a rate of 100 ft/min.

• The hot air balloon is coming to the ground at a rate of

  100 ft/min.

Which function represents the following sequence?

42,48,54,60,...

• $A(n)=36n+6$

• $A(n)=42n+6$

• $A(n)=6n+36$

• $A(n)=6n+42$

The graph represents the function $f\left(x\right)=-\frac{2}{5}x+k$ . What is the value of k?

• 3

• -3

•  $-\frac{2}{5}$  

•  $7\frac{1}{2}$  

The cost of renting a moving truck is given by ,  $C=40+0.99m$  where C is the total cost in dollars and m is the number of miles driven. What does the 40 in the equation represent?

• the number of miles driven

• the cost per mile

• the fixed cost of the rental

• the number of days the truck is rented