Exponential Functions Day 2

Front

What is the y-intercept (initial value) in the function g(x)=7(0.45)^x?

Back

7

Front

Which of the following functions represents exponential growth? y=3(\frac{2}{3})^x, y=5(\frac{4}{3})^x, y=2x + 7, y=9 - x

Back

y=5(\frac{4}{3})^x

Front

What is the horizontal line that an exponential function approaches but never touches?

Back

Asymptote

Front

Is the pictured graph growth, decay, or linear?

Back

Exponential Decay

Front

What is the Domain of the exponential function?

Back

All Real Numbers

Front

Define an exponential function.

Back

A function of the form f(x) = a * b^x, where a is a constant, b is a positive real number, and b ≠ 1.

Front

What is the growth factor in an exponential function?

Back

The base 'b' in the function f(x) = a * b^x, which determines how quickly the function grows.

Front

What is the difference between exponential growth and exponential decay?

Back

Exponential growth occurs when the base b > 1, while exponential decay occurs when 0 < b < 1.

Front

What is an example of an exponential growth function?

Back

f(x) = 2 * (3)^x.

Front

What is an example of an exponential decay function?

Back

f(x) = 5 * (0.5)^x.