Understanding Function Notation

The video tutorial introduces function notation, explaining that f(x) is equivalent to y. It provides examples of solving equations using function notation, both algebraically and graphically. The tutorial covers how to find specific values of f(x) by substituting x values and solving for y, as well as solving for x when y is given. It also demonstrates how to interpret graphs to find corresponding x and y values.

What does f(x) represent in function notation?

• The y-coordinate of a point

• The slope of the line

• The x-coordinate of a point

• The y-intercept of the line

If f(x) = 3x - 2, what is f(3)?

• 7

• 11

• 5

• 9

In the function f(x) = 3x - 2, what ordered pair represents f(5)?

• (5, 11)

• (5, 13)

• (5, 15)

• (5, 17)

In function notation, what does it mean if f(x) is written as f(5)?

• The y-intercept is 5

• The slope is 5

• y is 5

• x is 5

For the equation f(x) = 7x - 2, if f(x) = 12, what is the value of x?

• 3

• 2

• 1

• 4

In the function f(x) = 7x - 2, what ordered pair represents the solution when f(x) = 19?

• (5, 19)

• (6, 19)

• (4, 19)

• (3, 19)

How do you express the solution of f(x) = 7x - 2 when f(x) = 12 as an ordered pair?

• (2, 7)

• (12, 2)

• (2, 12)

• (7, 2)

When using a graph, how do you find f(1) for a given function?

• Find where x = 1 on the x-axis and see where it meets the graph

• Check the slope of the line

• Look at the y-axis for 1

• Find the y-intercept

If f(x) = -3 on a graph, what does this tell you about the y-coordinate?

• The x-coordinate is -3

• The x-coordinate is 3

• The y-coordinate is -3

• The y-coordinate is 3

What is the ordered pair for f(1) if it equals 3 on the graph?

• (-1, 3)

• (1, 3)

• (3, 1)

• (1, -3)