Exponential Functions - Graphs and Models

Front

What does the y-intercept of the graph represent?

Back

The initial amount of grams.

Front

Which represents exponential decay?

Back

D

Front

Does the graph represent an exponential growth or an exponential decay function?

Back

Exponential Growth

Front

Identify the y-intercept (initial value) of the function f(x)=2(4)^x.

Back

2

Front

The expression 12(1.015)^t models the population of elephants in a wildlife refuge after t years since 1975. Is the population of elephants increasing or decreasing?

Back

Increasing

Front

What is 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 x is the exponent.

Front

What is the general shape of the graph of an exponential growth function?

Back

The graph rises steeply to the right.

Front

What is the general shape of the graph of an exponential decay function?

Back

The graph falls steeply to the right.

Front

What does the base of an exponential function indicate?

Back

The rate of growth (if greater than 1) or decay (if between 0 and 1).

Front

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

Back

Evaluate the function at x=0.