PRE CALCULUS Exponential and Logarithmic Functions

Question 1

Which of the following is the general form of an exponential function?

Accepted Answer

f(x) = a·b^x where b > 0, b ≠ 1

Answer

f(x) = x^b

Answer

f(x) = a·x^b where a ≠ 0

Answer

f(x) = log_b(x)

Question 2

What is the y-intercept of the function f(x) = 3·2^x?

Accepted Answer

3

Answer

0

Answer

2

Answer

6

Question 3

Which statement describes the end behavior of f(x) = (1/2)^x as x → ∞?

Accepted Answer

f(x) → 0

Answer

f(x) → ∞

Answer

f(x) → 1

Answer

f(x) → −∞

Question 4

What is the value of e^0?

Accepted Answer

1

Answer

0

Answer

e

Answer

undefined

Question 5

The exponential function f(x) = 5^x is a one-to-one function. What does this imply?

Accepted Answer

Its inverse is also a function

Answer

It has no inverse

Answer

It passes the horizontal line test only sometimes

Answer

Its range is all real numbers

Question 6

If f(x) = 2^x, what is f(x + 3) in simplified form?

Accepted Answer

8·2^x

Answer

2^x + 8

Answer

2^x + 3

Answer

6·2^x

Question 7

Which of the following represents exponential growth rather than decay?

Accepted Answer

f(x) = 3·(1.2)^x

Answer

f(x) = 4·(0.5)^x

Answer

f(x) = 2·(0.9)^x

Answer

f(x) = 5·(0.1)^x