Evaluating Functions from Graphs

This video tutorial teaches how to evaluate functions from a graph. It explains how to find the y-coordinate for a given x-value and vice versa. The tutorial includes examples, such as evaluating f(2) and f(-1), and discusses scenarios with multiple solutions. Practice problems are provided, and solutions are reviewed. Additional resources for further practice are mentioned.

What does 'f of 2' signify in function notation?

• The x-value when y is 2

• The area under the graph until x=2

• The y-value when x is 2

• The slope of the graph at x=2

What does the number inside the parentheses in 'f of x' represent?

• The slope

• The maximum value of the function

• The y-value

• The x-value

If f of -1 equals -2, what does this tell you about the graph?

• The graph is above the x-axis at x=-1

• The graph has a slope of -2 at x=-1

• The graph is below the x-axis at x=-1

• The graph intersects the y-axis at y=-2

If f(x) = 4, how do you determine the value of x?

• Directly read the value of x from the function

• Scan the x-axis for the point where the graph hits y=4

• Look for x when y equals 4 on the y-axis

• Find where y intersects 4 on the graph

What does it mean if f(x) = 2 has two solutions?

• The graph intersects y=2 at two points

• There are two graphs

• x=2 is a repeating value

• The function is incorrect

How many solutions are there when f(x) = 4?

• 1

• 2

• 3

• 4

When given f(x) = 2, how do you find the corresponding x-values?

• Trace along the y-axis until y=2, then find where the graph intersects this line

• Use the quadratic formula

• Calculate the derivative of the function

• Look for x=2 on the x-axis and find the corresponding y-value

What does it indicate if there are multiple x-values for a single y-value in a function's graph?

• The graph cannot be plotted

• The graph is a straight line

• The function has multiple inputs producing the same output

• The function is not valid

What are the possible x-values when f(x) = 1?

• 1, 2, 3, 4

• -3, 0, 3

• 0, 2, -2, 5

• -4, -1, 1, 4

How many answers are there when f(x) = 5?

• 4

• 1

• 2

• 3