DSAQuiz2_Lessson3_LEC

Given f(x)=4^x, what is f(−2)?

• 116

• 16

• 14

• 0

What is the value of f(0) for f(x)=2^x?

• 0

• 1

• 2

• Undefined

Which of the following is a characteristic of exponential functions?

• Constant rate of change

• Variable exponent

• Base raised to a constant power

• Constant base with variable exponent

Which exponential function best models bacteria that double every hour?

• f(x)=4^x

• f(x)=2^x

• f(x)=x^2

• f(x)=3^x

What is the value of f(2) for f(x)=(1/5)^x?

• 125

• 25

• 15

• 5

Convert log⁡4 16 into exponential form.

• 4^x = 16

• 16^x = 4

• 4^x = 2

• 4^2 = x

What is the natural logarithm of e^5?

• 5

• 1

• 0

• Undefined

Solve for x: log⁡2 16.

• 2

• 4

• 16

• 8

Which property of logarithms is represented by log⁡b(xy)=log⁡b x + log⁡b y?

• Product rule

• Quotient rule

• Power rule

• Base rule

The equation log⁡5 1 = 0 follows from which property?

• log⁡b 1 = 0

• log⁡b b = 1

• log⁡b b^x = x

• b^{log_b x} = x