Key Features of a Function

Front

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

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

In interval notation, what symbols are used to indicate open and closed intervals?

Back

Open intervals use parentheses ( ), while closed intervals use square brackets [ ].

Front

What is the formula for the axis of symmetry in a quadratic function?

Back

The axis of symmetry for the quadratic function y = ax^2 + bx + c is given by x = -b/2a.

Front

How can you determine if a relation is a function?

Back

A relation is a function if each input (x-value) has exactly one output (y-value).

Front

What is the parent function of a linear function?

Back

The parent function of a linear function is y = x.

Front

What is the parent function of a quadratic function?

Back

The parent function of a quadratic function is y = x^2.

Front

What is the parent function of an exponential function?

Back

The parent function of an exponential function is y = e^x.

Front

What does it mean for a function to be increasing?

Back

A function is increasing on an interval if, as x increases, the value of f(x) also increases.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing on an interval if, as x increases, the value of f(x) decreases.

Front

What is a vertical line test?

Back

The vertical line test is a method to determine if a curve is a function; if a vertical line intersects the curve at more than one point, it is not a function.