Algebra 2 Final Review

For each of the following determine if the representation is linear, quadratic or exponential.

• Linear

• Quadratic

• Exponential

For each of the following determine if the representation is linear, quadratic or exponential. Most cars decrease in value over time. Kelley Blue Book is a resource that consumers can use to determine the value of both new and used cars. Suppose that an $18,000 new car decreases in value by 5.35% every year.

• Linear

• Quadratic

• Exponential

For each of the following determine if the representation is linear, quadratic or exponential.

Sequence: 64, 32, 16, 8, 4...

• Linear

• Quadratic

• Exponential

For each of the following determine if the representation is linear, quadratic or exponential. One ride-sharing service in New York City charges a flat fee of $2.50 and an additional charge of $0.35 per mile.

• Linear

• Quadratic

• Exponential

For each of the following determine if the representation is linear, quadratic or exponential.

Sequence: -4, -1, 2, 5, 8, 11

• Linear

• Quadratic

• Exponential

For each of the following determine if the representation is linear, quadratic, or exponential. Many students take out loans to pay for college. One particular bank offers student loans at an interest rate of 2.75% compounded annually. Suppose you take out a loan for $8,000 from the bank. The bank starts calculating the loan right after they issue the money to you.

• Linear

• Quadratic

• Exponential

Find the average rate of change over 1 ≤ x ≤ 8.

• 5/7

• -1/2

• 1/2

• -5/7

What is the average rate of change of the function over the interval -5 ≤ x ≤ 10?

• 2/5

• 1/2

• 1/5

• 3/10

Find the average rate of change over [-1, 2].

• -1

• -2

• 1

• 2

In which of the following intervals is g increasing?

• [-8, -2]

• (-2,3]

• (3,8]

• [-8, 8]