Comparing Functions TEST

Front

What type of graph is represented by a linear function?

Back

A linear function is represented by a straight line on a graph.

Front

What is the y-intercept of a function?

Back

The y-intercept is the point where the graph of a function crosses the y-axis.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if its output values rise as the input values increase.

Front

What is the general form of a quadratic function?

Back

The general form of a quadratic function is f(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

What transformation occurs when a function is shifted down?

Back

Shifting a function down means subtracting a value from the output, moving the graph lower on the y-axis.

Front

What is an exponential growth function?

Back

An exponential growth function increases rapidly and can be represented as f(x) = a * b^x, where b > 1.

Front

What is an exponential decay function?

Back

An exponential decay function decreases rapidly and can be represented as f(x) = a * b^x, where 0 < b < 1.

Front

How do you identify a quadratic function from a set of functions?

Back

A quadratic function can be identified by its highest degree being 2, typically in the form f(x) = ax^2 + bx + c.

Front

What does a vertical translation of a function mean?

Back

A vertical translation means moving the graph up or down without changing its shape.

Front

What is the effect of replacing y = x with y = x + 2?

Back

This transformation results in a vertical translation of the graph up by 2 units.