Combinations and Separations of Functions

Question 1

Janet has money invested in two different accounts. The function f(x) represents the amount of money in an account after x years of interest compounded monthly, while the function g(x) represents the amount of money in an account after x years of simple interest.

Revolt · Accepted Answer

1.74; 7.41; 17.21; 31.34

Question 2

Question 145897

Revolt · Accepted Answer

7.41

Question 3

Question 145898

Revolt · Accepted Answer

17.21

Question 4

Question 145899

Revolt · Accepted Answer

31.34

Question 5

A carpenter is building a rectangular deck. The deck should have a width, f(x), to length, g(x), ratio of 2 to 3. The area of the deck is represented by the function h(x). Complete the table with the missing side lengths and areas of the deck.

Revolt · Accepted Answer

6; 10; 600

Question 6

Which graph represents the situation h(x) = f(x) – g(x)?

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/8102/8102-07/8102-07-06/8102-07-06-10/8102-07-06-10-08/8102-07-06-10-08-image3-01.jpg

Question 7

The functions f(x) and g(x) are combined using multiplication. Which statements describe the resulting graph, h(x)? Check all that apply.

Revolt · Accepted Answer

domain: x > –2; The point (8, 5) is on h(x).; The point (–1, 0) is on h(x).

Question 8

Henri puts aside $10 cash every month in a shoebox. He also makes a one-time deposit of $1,500 in a savings account at 9% annual interest, compounded yearly.Amount of shoebox savings: f(t) = 120tAmount of savings account: g(t) = 1,500(1.09)tWhich function represents the amount of money Henri will have after t years?

Revolt · Accepted Answer

(f + g)(t) = 1,500(1.09)t + 120t, t ≥ 0

Combinations and Separations of Functions Answers

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