Functions Review

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 find the x-intercept of a function?

Back

Set y (or f(x)) to 0 and solve for x.

Front

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

Back

Set x to 0 and solve for y (or f(0)).

Front

What does f(x) = y represent in a function?

Back

It represents the output value (y) for a given input value (x).

Front

If f(x) = 5, how do you find x?

Back

You need to find the value of x that makes the function equal to 5.

Front

What is the maximum height in a function's context?

Back

The maximum height refers to the highest point on the graph of a function, often found at the vertex of a parabola.

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex represents the maximum or minimum point of the parabola, depending on its orientation.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, typically in the form f(x) = mx + b.

Front

What does the slope (m) represent in a linear function?

Back

The slope represents the rate of change of the function, indicating how steep the line is.

Front

What does the y-intercept (b) represent in a linear function?

Back

The y-intercept is the point where the line crosses the y-axis.