Mixed function review

Leslie's car travels about 25 miles per gallon of gas. Her car needs 14 gallons of gas to be full. What is a reasonable domain?

• $x\ge25$

• $0\le y\le14$

• $x\le14$

• $0\le x\le14$

Janice is working as a babysitter for the Harold Family.  They plan to leave for their date at 7:00 pm  and be back by 12:00 am.  If the equation f(x) = 15x + 20 models the amount that Janice will earn, where x is the number of hours she works, and f(x) is the total money she earns, what is an appropriate domain?

• any value between 0 and 5
• any value between 15 and 20
• any value between -1 and 1
• any value greater than 0

Over what interval is this function constant?

• -5 < x < ∞
• -3 < x < 4
• 4 < x < ∞
• -5

Tags

CCSS.HSF-IF.C.7B

When is the velocity decreasing?

• 0 < t < 60
• 40 < t < 60
• 15 < t < 40
• -40 < t < 0

Tags

CCSS.HSF.IF.B.4

Antonio and Juan are in a 4-mile bike race. The graph shows the distance of each racer, in miles, as a function of time, in minutes.

Who wins the race? How do you know?

• Juan because he gets to 4 miles first (x = 13)

• Antonio because he gets to 4 miles first (x = 15)

• they tie because they both get to 4 miles at the same time

Tags

CCSS.8.EE.B.5

f(x) = 3x + 10
g(x) = x - 2
Find g(f(-10))

• -42
• -26
• -18
• None of these.

Tags

CCSS.HSF-BF.A.1C

f(x) = 3x + 10
g(x) = x - 2
Find (f∘g)(0)

• 16
• 4
• -4
• None of these.

Tags

CCSS.HSF-BF.A.1C

g(x) = 2x - 5
h(x) = 4x + 5
Find (g - h)(3)

• 18
• 16
• -16
• 28

Tags

CCSS.HSF-BF.A.1B

Find f(h(5)) based on the graphs of f(x) and g(x)

• -6
• -3
• 6
• 2

Tags

CCSS.HSF-BF.A.1C

Given f(x) = 3x + 10
and g(x) = x - 2
Find f(g(5))

• 19
• 23
• -10
• None of these.

Tags

CCSS.HSF-BF.A.1C