Front

What does it mean for a graph to be increasing on an interval?

Back

A graph is increasing on an interval if, as you move from left to right, the y-values of the graph rise.

Front

What does it mean for a graph to be decreasing on an interval?

Back

A graph is decreasing on an interval if, as you move from left to right, the y-values of the graph fall.

Front

How do you identify a relative maximum on a graph?

Back

A relative maximum occurs at a point where the function value is higher than the values of the function at nearby points.

Front

How do you identify a relative minimum on a graph?

Back

A relative minimum occurs at a point where the function value is lower than the values of the function at nearby points.

Front

What is the definition of symmetry in functions?

Back

A function is symmetric if it is unchanged when reflected over a specific line, such as the y-axis (even) or the origin (odd).

Tags

CCSS.HSF.BF.B.3

Front

What is an even function?

Back

A function f(x) is even if f(-x) = f(x) for all x in the domain.

Tags

CCSS.HSF.BF.B.3

Front

What is an odd function?

Back

A function f(x) is odd if f(-x) = -f(x) for all x in the domain.

Tags

CCSS.HSF.BF.B.3

Front

What does it mean if a function has 'neither' symmetry?

Back

A function has 'neither' symmetry if it does not satisfy the conditions for being even or odd.

Tags

CCSS.HSF.BF.B.3

Front

How do you determine the number of x-intercepts in a graph?

Back

The number of x-intercepts is determined by the points where the graph crosses the x-axis, which corresponds to the solutions of the equation f(x) = 0.

Tags

CCSS.HSF-IF.C.7A

Front

What is an x-intercept?

Back

An x-intercept is a point on the graph where the y-value is zero.