Key Features of Functions

Front

What are the x- and y-intercepts of a function?

Back

The x-intercept is the point where the graph crosses the x-axis (y=0), and the y-intercept is where it crosses the y-axis (x=0).

Front

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

Back

A function is constant over an interval if its output value does not change for all input values in that interval.

Front

What does it mean for a function to be positive?

Back

A function is positive when its output values are greater than zero for the given input values.

Front

Define the domain of a function.

Back

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

Front

What is the range of a function?

Back

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

Front

How do you find the x-intercept of a function?

Back

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

Front

How do you find the y-intercept of a function?

Back

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

Front

What is 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

What is the significance of the interval notation (a, b)?

Back

It represents all numbers between a and b, excluding a and b themselves.

Front

What does the notation {y| -6 ≤ y ≤ 3} represent?

Back

It represents the range of y-values from -6 to 3, including both endpoints.