Understanding Function Graphs

The video tutorial explains how to use a graph to determine function outputs for given inputs and vice versa. It starts by finding the output for an input of two, showing that f(2) equals 4. Then, it finds the output for an input of zero, showing that f(0) equals 1. The tutorial also covers how to find inputs for given outputs, such as when f(x) equals 8, the input is 3, and when f(x) equals 2, the input is 1. The video concludes with a summary of these concepts.

What is the primary purpose of using the graph of f(x)?

• To identify function outputs and inputs

• To calculate the function's derivative

• To determine the slope of the function

• To find the function's domain

When determining f(2), what is the corresponding y-value?

• 0

• 4

• 2

• 8

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

• (2, 4)

• (2, 0)

• (0, 2)

• (4, 2)

How do you find the function value for f(0)?

• Find the slope at x = 0

• Locate 0 on the vertical axis

• Calculate the derivative at x = 0

• Locate 0 on the horizontal axis

What is the function value when x = 0?

• 4

• 2

• 1

• 0

For f(x) = 8, what is the corresponding x-value?

• 2

• 4

• 3

• 1

Where do you locate the output value on the graph?

• On the horizontal axis

• On the diagonal axis

• On the vertical axis

• On the tangent line

What is the x-value when f(x) = 2?

• 0

• 3

• 1

• 2

How do you find the point on the graph for a given y-value?

• Move downwards

• Move to the right

• Move to the left

• Move upwards

What does the ordered pair (1, 2) indicate?

• When x = 2, f(x) = 0

• When x = 0, f(x) = 2

• When x = 2, f(x) = 1

• When x = 1, f(x) = 2