Key Features of Graphs

Front

What is a constant function?

Back

A constant function is a function that does not change its value regardless of the input. It can be represented as f(x) = c, where c is a constant.

Front

How do you identify the interval where a function is constant?

Back

To identify the interval where a function is constant, look for sections of the graph where the y-value remains the same as x changes.

Front

What is an absolute maximum?

Back

The absolute maximum of a function is the highest point over the entire domain of the function.

Front

What is an x-intercept?

Back

An x-intercept is a point where the graph of a function crosses the x-axis, meaning the output (y-value) is zero.

Front

How do you find x-intercepts algebraically?

Back

To find x-intercepts, set the function equal to zero and solve for x.

Front

What is end behavior in graphing functions?

Back

End behavior describes how the values of a function behave as x approaches positive or negative infinity.

Front

What does it mean if a function approaches +∞ as x → +∞?

Back

It means that as x increases without bound, the function's output also increases without bound.

Front

What does it mean if a function approaches -∞ as x → -∞?

Back

It means that as x decreases without bound, the function's output decreases without bound.

Front

What is the significance of the y-intercept?

Back

The y-intercept is the point where the graph crosses the y-axis, indicating the value of the function when x = 0.

Front

How can you determine the y-intercept from a function?

Back

To find the y-intercept, evaluate the function at x = 0.