Exponential and Logarithmic Graphs

Front

What is the domain of the function y = 3^x + 10?

Back

(1, ∞)

Front

Classify the following graph: y = log(x).

Back

Logarithmic

Front

What is the y-intercept of the function y = 3^(x + 7) + 10?

Back

(0, 2197)

Front

Describe the asymptote of the function f(x) = log_5(x + 4) - 2.

Back

Vertical Asymptote x = -4

Front

What is the relationship between logarithms and exponentials?

Back

Inverses

Front

What is the range of the function y = e^x?

Back

(0, ∞)

Front

What is the base of the natural logarithm?

Back

e (approximately 2.718)

Front

What is the general form of an exponential function?

Back

y = a * b^x, where a > 0 and b > 0.

Front

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

Back

y = 0

Front

How do you convert an exponential equation to logarithmic form?

Back

If b^y = x, then log_b(x) = y.