1-1 Key Features of Functions HW

Front

What does it mean for a function to be positive?

Back

A function is positive on an interval if its output values (y-values) are greater than zero for all x-values in that interval.

Front

What does it mean for a function to be negative?

Back

A function is negative on an interval if its output values (y-values) are less than zero for all x-values in that interval.

Front

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

Back

To find the x-intercepts, set the function equal to zero and solve for x. The x-intercepts are the points where the graph crosses the x-axis.

Front

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

Back

To find the y-intercept, evaluate the function at x=0. The y-intercept is the point where the graph crosses the y-axis.

Front

What is a maximum point of a function?

Back

A maximum point is a point on the graph of a function where the function value is greater than the values of the function at nearby points.

Front

What is a minimum point of a function?

Back

A minimum point is a point on the graph of a function where the function value is less than the values of the function at nearby points.

Front

What does it mean for a function to be increasing?

Back

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

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing on an interval if, as x increases, the function values (y-values) decrease.

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 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.