Evaluating Function Rules

Last updated over 5 years ago

12 questions

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Evaluating Function Rules

Last updated over 5 years ago

12 questions

Question 1

For h(x) = 2(3)x, find h(2).

Question 2

For g(x) = x2 - 2x, find g(3) + 4

Question 3

For f(x) = 3x + 7 and h(x) = 2(3)x, find f(2/3) - h(3).

Question 4

For g(x) = x2 - 2x and f(x) = 3x + 7, find g(-4) + f(-5).

Question 5

For f(x) = 3x + 7, find 2f(7) - 3.

Question 6

For f(x) = 3x + 7 and g(x) = x2 - 2x, find g(6) + 5f(1).

Question 7

For f(x) = 3x + 7 and g(x) = x2 - 2x, find f(g(0)).

Question 8

For g(x) = x2 - 2x and h(x) = 2(3)x, find g(h(4)).

Question 9

For f(x) = 3x + 7, find f(2m - 5).

Question 10

10.

Martin earns $7.50 per hour proofreading ads at a local newspaper. His weekly wage w can be described by the equation w(h) = 7.5h, where h is the number of hours worked. Find and interpret w(20).

w(20) = 1500, Martin earned $1500 for 20 hours worked.

w(20) = 150, Martin earned $20 for 150 hours worked.

w(20) = 150, Martin earned $150 for 20 hours worked.

w(20) = 7.5, Martin worked 7.5 hours and earned $20.

Question 11

11.

The function C(r) = 500 + 175r models the cost of installing carpet in a house where r is the number of rooms in the house and C is the total cost. Evaluate C(5) and explain the meaning.

C(5) = 1375, It costs $175 per room to have carpet installed.

C(5) = 500, There is a $500 fee to have carpet installed.

C(5) = 1375, It takes 1375 square feet of carpet for 5 rooms.

C(5) = 1375, It costs $1375 to install carpet in 5 rooms.

Question 12

12.

The function H(t) = -16t2 + 40t + 50 models the height H in feet of a ping pong ball as it is thrown upwards in t seconds. What is the height after 3 seconds.