Exponential Functions Review 2024

Front

What is the asymptote of the function y=6^(x - 2) + 3?

Back

y = 3

Front

Write the exponential growth equation for Samantha's hair growth starting at 6 inches and growing at 14% per week.

Back

y = 6(1.14)^x

Front

What is the exponential function for an initial amount of $15 increasing by 35% each year?

Back

y = 15(1.35)^x

Front

How does the function f(x) = 3^x - 4 compare to the basic function g(x) = 3^x?

Back

It is shifted 4 units down.

Front

What is the range of the function y = 3^x - 4?

Back

(-8, ∞)

Front

Define an exponential function.

Back

A function of the form y = a(b^x), where a is a constant, b is a positive real number, and x is the exponent.

Front

What does the base of an exponential function represent?

Back

The base indicates the growth (if >1) or decay (if <1) factor of the function.

Front

What is the general form of an exponential decay function?

Back

y = a(b^x) where 0 < b < 1.

Front

How do you find the y-intercept of an exponential function?

Back

Set x = 0 in the function and solve for y.

Front

What is the effect of changing the base in an exponential function?

Back

Changing the base affects the rate of growth or decay of the function.