Lesson 2.6: Modeling Using Function Notation

Question 1

Which composite function represents the total area of the oil spill as a function of hours?

Revolt · Accepted Answer

A(d(h)) = π(100h)2

Question 2

Which is the composed function for the total price, x, of any item?

Revolt · Accepted Answer

h(g(f(x))) = 1.07(0.8x – 10)

Question 3

The function [image 1] can be used to determine one leg length, b, of a right triangle given the other leg length, a. The function [image 2] can be used to find the area of a right triangle. Which statements are true? Check all that apply.The function [image 3] is one way to compose the functions.The function [image 4] is one way to compose the functions. g(b(a)) can be used to find the area of the triangle based on side length a.b(g(a)) can be used to find the area of the triangle based on side length a.g(b(a)) can be used to find side length a given the area of the triangle.b(g(a)) can be used to find side length a given the area of the triangle.

Revolt · Accepted Answer

The function is one way to compose the functions.; g(b(a)) can be used to find the area of the triangle based on side length a.

Question 4

Which function shows the pH of the hot spring as a function of d?

Revolt · Accepted Answer

g(f(d)) = –log10((0.5 × 10–4)d)

Lesson 2.6: Modeling Using Function Notation Answers

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