Comparing Multiple Representations of Functions

U5: Foundations of Comparing Functions

by A McQueen

​Warm - Up

​Let's review what we have learned....

Multiple Choice

Which relation is NOT a function?

• {(1,-5), (3,1), (-5,4), (4,-2)}
• {(2,7), (3,7), (4,7), (5,8)}
• {(1,-5), (-1,6), (1,5), (6,-3)}
• {(3,-2), (5,-6), (7,7), (8,8)}

Multiple Choice

• Function
• Not a Function

Multiple Choice

• Function
• Not a Function

Multiple Choice

Give the function rule.

• 55

• x+11

• 11x

Multiple Choice

Level 1

y=x-6

What is the missing number?

• 12

• 10

• 14

• 13

Multiple Choice

Which equation matches the table?

• y = x + 5
• y = 5x
• y = x - 5
• x = y - 5

Multiple Select

Select all possible numbers that when replaced with the "?" in the set of 

ordered pairs {(3,4),(−2,−5),(?,0)} would create a function.

• 3

• -5

• -2

• 7

• 0

​Learning Target

​Today I will be comparing different representations of functions.

​Success Criteria

I’ll know I am successful when I can:

​ - Determine the slope of the of a function represented in different ways.

​ - Determine the y - intercept of a function represented in different ways.

 – compare inputs and outputs of functions that are represented in different ways.​

​Different Representations of Functions

Multiple Choice

• Function
• Not a Function

​Let's review equations of a line

Multiple Choice

If m=3 and b=6, what is the correct slope intercept equation?

• y=3-6
• y=3x-6
• y=3x+6
• y=6x+3

Multiple Choice

What is the y-intercept in the equation y= -2x + 5

• -2
• 3
• 5
• Cannot be Determined

​Different ways of finding slope

Multiple Choice

Find the slope of the line.

• 1/2
• -1/2
• 2
• -2

Multiple Choice

What is the slope?

• -1/3
• -3
• -4
• 5

Multiple Choice

What is the slope of the line with the equation $$y\ =\ -\frac{3}{2}x\ +\ 4$$  

• $$-\frac{3}{2}$$  

• $$\frac{3}{2}$$  

• $$4$$  

• $$-4$$  

Multiple Choice

Based on the table, how much did Francis earn per hour?

• $17.50 per hour

• $14.00 per hour

• $35.00 per hour

• $24.50 per hour

​Different ways of finding y-intercept

Multiple Choice

What is the y-intercept of the line with the equation $$y\ =\ -2x\ +\ 4$$  

• $$-2$$  

• $$2$$  

• $$4$$  

• $$-4$$  

Multiple Choice

The points in the table all lie on the same line. What is the y-intercept of this line?

• 0

• 2

• 10

• 1/2

Multiple Choice

What is the y-intercept shown on the graph?

• (0, -2)
• (3, 0)
• (0, 3)
• None of these.

Multiple Choice

 Mrs. Smith planted a tree that was 14 inches tall.  The tag says it will grow about 3 inches every month. What is the y-intercept?

• 3

• 14

• 17

​Now Let's compare Functions!

​

Multiple Choice

Who started with more lives?

• Bob, he had 3 lives

• Bob, he had 10 lives

• Stuart, he had 12 lives

• Stuart, He had 4 lives

Multiple Choice

Who lost lives at a greater rate?

• Bob lost 3 lives at each level

• Bob lost 13 lives at each level

• Stuart lost 4/3 lives at each level

• Stuart lost 16 lives per level.

Multiple Choice

Who ate more slices per minute?

• Mickey ate 5 slices per minute

• Mickey at 5x slices per minute

• Ralph ate 3 slices per minute

• Ralph ate 6 slices per minute