Evaluating and Graphing Functions Mastery

This video tutorial covers the evaluation and graphing of functions. It begins with an introduction to functions and the importance of writing equations in function form. The vertical line test is explained as a method to determine if a graph represents a function. The tutorial then moves on to evaluating functions using functional notation, replacing variables with given numbers. Graphing functions is demonstrated using various methods, including slope-intercept form. Finally, the video explains how to find the slope of numbers in function notation, using ordered pairs and the slope formula.

What is the vertical line test used for?

• To find the slope of a line

• To calculate the y-intercept

• To determine if a graph is a function

• To solve equations

According to the vertical line test, what does it mean if a vertical line intersects a graph at more than one point?

• The graph is a parabola

• The graph represents a function

• The graph does not represent a function

• The graph is a straight line

In function notation, what does f(x) replace?

• x

• y

• b

• z

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

• 1

• -1

• -7

• 7

When graphing the function f(x) = -1/2x + 3, what is the y-intercept?

• 3

• 2

• 4

• 1

What is the slope of the function y = -1/2x + 3?

• 2

• -1/2

• -2

• 1/2

How do you convert f(x) = -1/2x + 3 to a form suitable for graphing?

• Replace x with y

• Replace y with x

• Replace f(x) with x

• Replace f(x) with y

What are the ordered pairs for f(0) = 3 and f(3) = -1?

• (0, -1) and (3, 3)

• (0, 3) and (3, -1)

• (3, 0) and (-1, 3)

• (3, 3) and (0, -1)

Using the slope formula, what is the slope between the points (0, 3) and (3, -1)?

• -4/3

• 3/4

• -3/4

• 4/3

What is the correct order of the coordinates in function notation?

• y, z

• y, x

• x, y

• z, x