Functions & Features of Functions

Front

What are x-intercepts?

Back

X-intercepts are the points where a graph crosses the x-axis. At these points, the value of y is zero.

Front

How do you find the x-intercepts of a function?

Back

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

Front

What is the function f(x) = x + 3?

Back

This is a linear function where the slope is 1 and the y-intercept is 3.

Front

For which value of x does f(x) = -5 in the function f(x) = x + 3?

Back

x = -8.

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 does the notation 1 ≤ x ≤ 4 represent?

Back

This notation indicates that x can take any value from 1 to 4, inclusive.

Front

What is a relative maximum?

Back

A relative maximum is a point on the graph of a function where the function value is higher than the values of the function at nearby points.

Front

How can you determine the number of relative maximums in a function?

Back

You can determine the number of relative maximums by analyzing the graph or using calculus to find critical points.

Front

What is an absolute maximum?

Back

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

Front

What is the difference between relative and absolute maximums?

Back

Relative maximums are local peaks, while absolute maximums are the highest point overall in the function's domain.