12/11 Warm-up

Front

What are x- and y-intercepts?

Back

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

Front

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

Back

Set the function equal to zero and solve for x. The solutions are the x-intercepts.

Front

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

Back

Substitute x=0 into the function and solve for y. The result is the y-intercept.

Front

What does it mean for a graph to be decreasing?

Back

A graph is decreasing on an interval if, as x increases, y decreases.

Front

How can you determine the intervals of increase and decrease from a graph?

Back

By analyzing the slope of the graph: if the slope is negative, the graph is decreasing; if positive, it is increasing.

Front

What is the range of a function?

Back

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

Front

What are zeros of a function?

Back

Zeros are the x-values where the function equals zero (the points where the graph crosses the x-axis).

Front

What is 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

How do you express the domain of a function?

Back

The domain can be expressed in interval notation, indicating the range of x-values that are valid.

Front

What is interval notation?

Back

Interval notation is a way of writing subsets of the real number line, using parentheses and brackets to indicate whether endpoints are included.