4.8 Unit 4 Test Review (Functions)

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What does it mean to dilate a graph?

Back

To dilate a graph means to stretch or compress it by a certain factor, affecting the distance of points from the origin.

Front

What is the effect of reflecting a graph over the x-axis?

Back

Reflecting a graph over the x-axis changes the sign of the y-coordinates of all points on the graph.

Front

How do you find the value of a function at a specific point?

Back

To find the value of a function at a specific point, substitute the input value into the function's equation.

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.

Front

What is the equation of a line in slope-intercept form?

Back

Front

What happens to the slope of a line when it is dilated by a factor of 3?

Back

When a line is dilated by a factor of 3, the slope is multiplied by 3.

Front

How do you shift a graph vertically?

Back

To shift a graph vertically, you add or subtract a constant from the function's output (y-values).

Front

What is the significance of the y-intercept in a linear function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, indicating the output value when the input is zero.