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Compare Two Functions

Check the function the question asks for, then say why: find the rate of change (slope) and initial value of each.

Example

Function A: y = −2x + 6

Function B (table):

x	0	1	2	3
y	1	−5	−11	−17

Which function has the greater rate of change (slope)?

Function AFunction B

Why? A: −2, B: −6

1.
Function A: y = −2x + 3
Function B (table):
x 0 1 2 3
y 0 5 10 15
Which function has the greater rate of change (slope)?
Function AFunction B
Why?
2.
Function A: y = −5x − 3
Function B (table):
x 0 1 2 3
y 0 −2 −4 −6
Which function has the greater rate of change (slope)?
Function AFunction B
Why?
3.
Function A: y = 4x
Function B (table):
x 0 1 2 3
y −3 −6 −9 −12
Which function has the greater rate of change (slope)?
Function AFunction B
Why?
4.
Function A: y = 3x − 4
Function B (table):
x 0 1 2 3
y 3 0 −3 −6
Which function has the greater initial value (value at x = 0)?
Function AFunction B
Why?
5.
Function A: y = −7x + 2
Function B (table):
x 0 1 2 3
y 2 −4 −10 −16
Which function has the greater rate of change (slope)?
Function AFunction B
Why?