Understanding Function Graphs

The video tutorial explains how to use a graph to determine function outputs and inputs. It demonstrates finding the output for given inputs, such as f(2) and f(-4), and determining the input for specific outputs, like f(x)=4 and f(x)=-3. The process involves locating points on the graph and understanding the relationship between x and y values.

What is the purpose of using the graph of f(x) in this tutorial?

• To find the function's domain

• To determine the slope of the function

• To calculate the function's derivative

• To determine function outputs and inputs

What is the output of the function when the input is 2?

• 5

• 7

• 3

• 9

How do you find the output for a given input on a graph?

• Locate the input on the vertical axis and move horizontally

• Locate the input on the horizontal axis and move vertically

• Find the intersection of the input with the y-axis

• Calculate the area under the curve

What is the output of the function when the input is -4?

• 2

• 1

• 0

• -1

What does the function value represent in a graph?

• The area under the curve

• The y-coordinate

• The x-coordinate

• The slope of the tangent

What is the input value when the function output is 4?

• 2

• 3

• 0

• 1

How do you find the input for a given function output on a graph?

• Locate the output on the horizontal axis and move vertically

• Locate the output on the vertical axis and move horizontally

• Find the intersection of the output with the x-axis

• Calculate the derivative at the output

What is the input value when the function output is -3?

• 0

• -2

• -4

• -6

What is the ordered pair when the function output is -3?

• (0, -3)

• (-2, -3)

• (-4, -3)

• (-6, -3)

What is the significance of the ordered pair in a function graph?

• It determines the function's domain

• It shows the maximum value of the function

• It represents the slope of the function

• It indicates the input and corresponding output