Understanding Constant Functions and Graphing

The video tutorial explains how to identify the slope and intercepts of the equation f(x) = 3, a constant function. It demonstrates rewriting the equation in slope-intercept form, identifying the slope as zero and the vertical intercept as (0, 3). The tutorial also covers graphing the function as a horizontal line and using a table of values to confirm the graph. It concludes with tips on recognizing constant functions and their properties.

What type of function is represented by the equation f(x) = 3?

• Linear function

• Quadratic function

• Constant function

• Exponential function

In the equation y = 3, what is the slope?

• Undefined

• 3

• 0

• 1

What is the significance of the slope being zero in the equation y = 3?

• The line is curved

• The line is diagonal

• The line is horizontal

• The line is vertical

What is the vertical intercept of the equation y = 3?

• (0, 0)

• (3, 3)

• (0, 3)

• (3, 0)

What is the ordered pair for the point where the line y = 3 intersects the y-axis?

• (3, 0)

• (0, 3)

• (3, 3)

• (0, 0)

Why does the equation y = 3 not have a horizontal intercept?

• Because it is a vertical line

• Because it is a curved line

• Because it is a diagonal line

• Because it is a horizontal line

What values can x take in the equation y = 3?

• Any real number

• Only negative integers

• Only zero

• Only positive integers

What does the absence of x in the equation y = 3 imply?

• x must be positive

• x can only be zero

• x must be negative

• x can be any value

How can you quickly identify that y = 3 is a horizontal line?

• By plotting multiple points

• By recognizing it as a constant function

• By calculating the slope

• By finding the x-intercept

What is the most efficient way to graph a constant function like y = 3?

• Calculating the x-intercept

• Recognizing it as a horizontal line

• Finding the slope

• Using a table of values