Function Evaluations and Scenarios Quiz

Questions and Answers

If f(x) = x + 2, what is 3f(-2) + 1?

If f(x) = -3x + 2, what is f(7)?

-19

If f(x) = 1/2x - 10, what is 4f(30)?

If f(x) = 2x and g(x) = 2x + 5, what is g(f(-4))?

-11 Signup and view all the answers

If f(x) = 5x - 1, what is 4f(-5) + 1?

-103 Signup and view all the answers

Find f(4) given f(x) = -1.

-1 Signup and view all the answers

What is the largest value in the domain for f(x) representing a pepper plant growing at a rate of 0.25 inches every week, starting at 4 inches tall over 8 weeks?

8 Signup and view all the answers

What is the largest value in the range if f(x) represents the total cost of sweet potatoes at $1.99 a pound for no more than 16 pounds?

31.84 Signup and view all the answers

What is the largest value in the range for total cost if the kennels charge $40 per day for 10 days?

400 Signup and view all the answers

What is the largest value in the domain if Joseph's frozen yogurt shop charges $1 for the cup plus $0.35 per ounce, allowing no more than 3 ounces?

3 Signup and view all the answers

Find f(3).

24 Signup and view all the answers

Find f(-5).

0.09 Signup and view all the answers

Study Notes

Function Evaluations

For the function f(x) = x + 2, evaluating 3f(-2) + 1 gives a result of 1.
For f(x) = -3x + 2, substituting x = 7 results in f(7) = -19.
Given f(x) = 1/2x - 10, calculating 4f(30) yields a final value of 20.
With functions f(x) = 2x and g(x) = 2x + 5, g(f(-4)) evaluates to -11.

Cost Calculations

The function f(x) = 5x - 1 computes 4f(-5) + 1 to be -103.
Finding f(4) results in a value of -1.

Domain and Range Scenarios

Ellie’s pepper plant grows at 0.25 inches weekly from an initial height of 4 inches; after 8 weeks, the largest value in the domain is 8.
Cara’s sweet potato cost at $1.99 per pound for a maximum of 16 pounds results in a highest range value of 31.84.
For Dudley’s doggy daycare costing $40 per day, the total for 10 days sets the largest range value at 400.
In the frozen yogurt shop scenario, with a base cost of $1 plus $0.35 per ounce and a maximum of 3 ounces, the largest domain value is 3.

Additional Function Values

Evaluating f(3) yields a result of 24.
Calculating f(-5) provides a value of 0.09.

Description

Test your understanding of function evaluations, cost calculations, and domain and range scenarios with this quiz. Each question challenges you to apply mathematical concepts and real-life contexts to find solutions. Perfect for students looking to strengthen their skills in algebra and functions.