Unit 3 Review

Front

What is the definition of the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How do you determine the range of a function from its graph?

Back

The range can be determined by identifying the lowest and highest points on the graph and the corresponding y-values.

Front

What is the definition of 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

How do you find the domain of a function from its graph?

Back

The domain can be found by identifying the x-values for which the graph exists.

Front

What does it mean for a function to be increasing?

Back

A function is increasing on an interval if, as x increases, the corresponding y-values also increase.

Front

How can you identify intervals where a function is increasing from its graph?

Back

Intervals where the function is increasing can be identified by looking for sections of the graph that slope upwards as you move from left to right.

Front

What is the definition of a constant function?

Back

A constant function is a function that does not change its value; it has the same output for every input.

Front

How do you determine the interval where a function is constant?

Back

The interval where a function is constant can be determined by identifying the x-values over which the function's output remains unchanged.

Front

What is the domain of an exponential function?

Back

The domain of an exponential function is all real numbers.

Front

What is the significance of the interval notation (-∞, 5]?

Back

The interval notation (-∞, 5] indicates that the domain includes all real numbers less than or equal to 5.