Exponential Quiz Review

Given: f(x)=5(1.14)^x

What is the domain?

• (-∞,∞)

• (5,∞)

• (∞,-∞)

• (0,∞)

Given: f(x)=500(1.045)^x

What is the domain?

• (-∞,∞)

• (500,∞)

• (∞,-∞)

• (0,∞)

Given: f(x)=2.5(.07)^x

What is the range?

• (∞,-∞)

• (2.5,∞)

• (-∞,∞)

• (0,∞)

Given: f(x)=-25(1.075)^x

What is the range?

• (∞,-∞)

• (2.5,∞)

• (-∞,∞)

• (0,∞)

Which of the following would represent a decay/decreasing function?

• f(x)=100(1+.09)^x

• f(x)=10(1+.25)^x

• f(x)=(1+.37)^x

• f(x)=100(1-.09)^x

Tags

CCSS.HSF-IF.C.8B

Which of the following functions represents the situation.

A patient has taken 15 mg of a prescribed medication. The concentration of the medication in the body decreases at a rate of 10.2% per hour.

• C(t) = 15 (1 - .102)^t

• C(t) = 15 (1 - 10.2)^t

• C(t) = 15 (1 + .102)^t

• C(t) = 10.2 (1 - 15)^t

Tags

CCSS.HSF.LE.A.2

Which of the following functions represents the situation.

A patient has taken 21 mg of a prescribed medication. The concentration of the medication in the body decreases at a rate of 31% per hour.

• C(t) = 21 (1 + .31)^t

• C(t) = 21 (1 - 31)^t

• C(t) = 21 (1 - 3.1)^t

• C(t) = 21 (1 - .31)^t

Tags

CCSS.HSF.LE.A.2

Mandy bought a desktop computer system to start her business from home for $6100. It is expected to depreciate at a rate of 5% per year. What will the value of her desktop computer system be in 3 years?    A=P(1-r)^t

• $6000.00
• $5800.00
• $5229.99

• $5900.00

Tags

CCSS.HSF.BF.A.2

Randy bought a car surround system for $10,000. It is expected to depreciate at a rate of 12.5% per year. What will the value of his surround system be in 10 years?    A=P(1-r)^t

• $3,750.00
• $5,500.00
• $6,250.00
• $2,630.76

Tags

CCSS.HSF.BF.A.2

Molly was asked to solve the equation

6(2)^x + 5 =53

What is the solution to this equation?

• x = 3
• x = 4
• x = 5
• x = 2