Comparing Function Properties Across Different Representations

This video tutorial teaches how to compare properties of functions represented in various forms, such as equations, graphs, tables, and verbal descriptions. It explains how to determine key properties like slopes and intercepts from each representation. The video includes examples comparing different functions to illustrate these concepts, helping viewers understand how to analyze and compare functions effectively.

Which of the following is NOT a way to represent a function?

• Graph

• Matrix

• Table of values

• Equation

In the equation f(x) = mx + b, what does 'm' represent?

• X-intercept

• Y-intercept

• Constant term

• Slope

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

How do you find the x-intercept from an equation?

• Set x to 0 and solve for y

• Set y to 0 and solve for x

• Look at the graph

• Find the slope

What is the formula for the slope in a graph?

• (x2 - x1) / (y2 - y1)

• (y2 - y1) / (x2 - x1)

• y = mx + b

• None of the above

Tags

CCSS.8.EE.B.5

In a table, how is the y-intercept represented?

• Last row

• First row

• Row with y = 0

• Row with x = 0

Tags

CCSS.6.EE.C.9

What is the slope of the function f(x) = 4x + 2?

• -2

• -4

• 4

• 2

Tags

CCSS.8.EE.B.5

How do the slopes of f(x) = 4x + 2 and g(x) = 2x - 3 compare?

• The slope of f(x) is twice that of g(x)

• The slopes are equal

• The slope of f(x) is half that of g(x)

• The slopes are negative

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Where does the graph of a function intersect the x-axis?

• At the x-intercept

• At the y-intercept

• At the origin

• At the slope

How do the x-intercepts of f(x) and g(x) compare if f(x) has x-intercepts at (-3, 0) and (1, 0) and g(x) has x-intercepts at (1, 0) and (5, 0)?

• They are 4 units apart

• They are the same

• They are 2 units apart

• They are 6 units apart

What is the y-intercept of the function h(x) = 2^(x+1) - 4?

• -2

• -4

• 2

• 0

Tags

CCSS.HSF-IF.C.7E