Combinations and Separations of Functions

Question 1

Complete the table of values for h(x) = (f(x))(g(x)). x f(x) g(x) h(x) = (f(x))(g(x)) 1 5 1 2 10 1.41 3 15 1.73 4 20 2

Revolt · Accepted Answer

Selection 1: 5; Selection 2: 14.1; Selection 3: 25.95; Selection 4: 40

Question 2

Which equation represents h(x)?

Revolt · Accepted Answer

Answer image: https://r11.core.learn.edgenuity.com//media.edgenuity.com/EVresources/928e2f9e98efd65a212b3a40459b4ad7.png

Question 3

A moving sidewalk travels at a rate defined by the function f(x). A boy on the sidewalk is walking at a rate defined by the function g(x). The sum of the functions, h(x), represents the rate he is moving relative to his surroundings. Which could be the graph of the functions?

Revolt · Accepted Answer

Option D

Question 4

Which graph shows h(x) = ?

Revolt · Accepted Answer

Option B

Question 5

The area of a base of a cylinder is represented by , where d is the diameter. A function representing the area of the lateral surface of the cylinder is g(d) = 10d. Which shows a combined function, h(d), that represents the total surface area of the cylinder?

Revolt · Accepted Answer

Option C

Question 6

Which is h(x) = f(x) – g(x)?

Revolt · Accepted Answer

h(x) = log5(x) – x3 – 11

Question 7

What two functions could represent length and width for given values of x based on the combined function?

Revolt · Accepted Answer

f(x) = x + 7 and g(x) = x + 3

Question 8

The functions and are combined using addition to get function h. Which represents the combined function?

Revolt · Accepted Answer

, x ≥ 3

Combinations and Separations of Functions Answers

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