Algebra Unit 7 Flashcard 1 Study Guide

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input from its domain.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is an exponential function?

Back

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as the input values increase, the output values also increase.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing if, as the input values increase, the output values decrease.

Front

What is the formula for exponential growth?

Back

Front

What is the formula for exponential decay?

Back

Front

How do you find the value of an exponential function at a given point?

Back

To find the value of an exponential function at a given point, substitute the x-value into the function and calculate the result.

Front

What is the significance of the base in an exponential function?

Back

The base of an exponential function determines the rate of growth or decay; a base greater than 1 indicates growth, while a base between 0 and 1 indicates decay.

Front

What is a real-world example of exponential growth?

Back

A real-world example of exponential growth is the population of bacteria that doubles in number every hour.