Exponential and Log Functions Review

Front

What is the y-intercept of the function represented by the equation y = 2^x - 3?

Back

(0, -3)

Front

Convert the logarithmic equation \( \log_3 9 = 2 \) to exponential form.

Back

\( 3^2 = 9 \)

Front

What is the horizontal asymptote of the function y = 2^x?

Back

y = 0

Front

Which function best represents a graph that is a reflection of the parent function \( f(x) = 2^x \) across the x-axis and shifted up 2 units?

Back

\( k(x) = -2^x + 2 \)

Front

Describe the transformation of the graph \( g(x) = 2^{(x-3)} \) compared to the parent graph \( f(x) = 2^x \).

Back

Horizontally shift right 3

Front

What is the base of the logarithm in the equation \( \log_b 16 = 4 \)?

Back

b = 2

Front

If \( f(x) = 3^x \), what is the value of \( f(0) \)?

Back

1

Front

What is the inverse of the exponential function \( f(x) = 5^x \)?

Back

\( f^{-1}(x) = \log_5 x \)

Front

What is the domain of the function \( f(x) = 2^x \)?

Back

All real numbers, \( (-\infty, \infty) \)

Front

What is the range of the function \( f(x) = 2^x \)?

Back

(0, \infty)