Chapter 7 Exponential Review

Identify the y-intercept (initial value) in the function f(x)=13(.27)^x

• (.27)^x
• .27
• 13
• 3.51

Write an exponential function in the form y=ab^x that goes through points (0,13) and (5,416).

• y=13(32)^x

• y=13(2)^x

• y=13(5)^x

• y=2(13)^x

Write an exponential function in the form y=ab^x that goes through points (0,18) and (2,288).

• y=18(4)^x

• y=4(2)^x

• y=4(18)^x

• y=2(4)^x

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?

• y=8(1+ 15,000)^x

• y=15,000(1+ .08)^x

• y=15,000(1 - .08)^x

• y=15,000(0.08)^x

Determine whether each function represents exponential growth or decay. Identify the initial amount and interpret the growth factor or decay factor. The function y = 304(1.21)^d represents the number y of people that have been infected d days after a virus outbreak.

• Growth; Initial: 121 people; Increases 3.04% each day.

• Decay; Initial: 304 people; Decreases 21% each day

• Growth; Initial: 304 people; Increases 21% each day

• Decay; Initial: 121 people; Decreases 3.04% each day

Determine whether the table represents a exponential growth, exponential decay, or linear function

• Exponential growth

• Exponential decay

• Linear

Which equation represents the graph

• 23

• 256

• 16

• 2

Simplify the expression. Write your answer using only positive exponents.

q⁰

• 1

• 1

  q

• -1

• 0

Simplify the expression. Write your answer using only positive exponents.

(x⁵ )⁹