Graphing Exponential Functions — Cumulative exam

Question 1

Mrs. Cho wrote the following problem on the board.Problem: Step 1: Step 2: Step 3: What should Mrs. Cho do next?

Revolt · Accepted Answer

Multiply the numerators, multiply the denominators, and then simplify.

Question 2

Doug bought a new car for $25,000. He estimates his car will depreciate, or lose value, at a rate of 20% per year. The value of his car is modeled by the equation V = P(1 – r)t, where V is the value of the car, P is the price he paid, r is the annual rate of depreciation, and t is the number of years he has owned the car. According to the model, what will be the approximate value of his car after years?

Revolt · Accepted Answer

$9,159

Question 3

For what values of x does ?

Revolt · Accepted Answer

x = –1, x = 3

Question 4

What is the range of the function graphed below?

Revolt · Accepted Answer

y greater-than 0

Question 5

A student showed the steps below while solving the equation by graphing.Step 1:Write a system of equations: Step 2: Use the change of base formula to rewrite the equations:Step 3:Graph the two equations:Step 4:Identify the x-value at the point of intersection:In which step did the student make the first error?

Revolt · Accepted Answer

step 2

Graphing Exponential Functions — Cumulative exam Answers

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