Understanding Function Graphs

The video tutorial explains how to solve for x in a function graph by identifying the function's input that corresponds to a given output. It provides three examples: solving for x when f(x) equals 4, 2, and 3. The process involves locating the function value on the vertical axis, moving horizontally to the function, and then determining the input on the horizontal axis. The tutorial emphasizes understanding the relationship between function inputs and outputs on a coordinate plane.

What is the primary goal when solving for x in a function graph?

• To determine the input that results in a given function output

• To calculate the slope of the function

• To find the function output for a given input

• To identify the maximum value of the function

Where are the function inputs located on a graph?

• At the origin

• Along the diagonal axis

• Along the vertical axis

• Along the horizontal axis

What is the significance of the vertical axis in a function graph?

• It represents the function inputs

• It represents the function outputs

• It shows the slope of the function

• It indicates the maximum value of the function

In the example where f(x) = 4, what is the value of x?

• x = 4

• x = 0

• x = -3

• x = 3

Why is it important not to move downward when finding the input for f(x) = 4?

• Because the input would be incorrect

• Because the output would change

• Because the graph is not defined there

• Because it leads to a different function

For f(x) = 2, what is the corresponding input value?

• x = 2

• x = -2

• x = 0

• x = 4

What is the ordered pair for the point where f(x) = 2?

• (0, 2)

• (2, 4)

• (4, 2)

• (-3, 2)

In the example where f(x) = 3, what is the value of x?

• x = 4

• x = 3

• x = 0

• x = -3

What is the ordered pair for the point where f(x) = 3?

• (3, 0)

• (-3, 3)

• (3, 3)

• (0, 3)

What is the process to find the input when the output is given?

• Locate the output on the vertical axis and move horizontally to the function

• Find the intersection of the function with the horizontal axis

• Calculate the derivative of the function

• Locate the input on the horizontal axis and move vertically to the function