Graphs

Question 1

What does mod bars around x mean about the shape of a graph

Answer 1

V shape

Question 2

What do we do when it’s |f(x)|

Answer 2

Reflect negative y values in x axis

Question 3

What do we do when it’s f(|x|)

Answer 3

Reflect the x positive values in the y axis

Question 4

If 40 is a rootof a quadratic and we know a coordinate, how do we model it

Answer 4

y=Ax(x-40)
Plug in and solve for A

Question 5

Sketch the graph transformation table

Answer 5

Question 6

What’s the difference between f⁻¹(x) vs f⁻¹

Answer 6

For f⁻¹(x) just write the inverse function
For F⁻¹, write the inverse function AND DOMAIN (which is the range of the original function)

Question 7

If we have 2|x+4| where does the minus go

Answer 7

2|x+4|=
2(x+4)
and
-2(x+4)

Doesn’t go between the 2 and bracket

Question 8

When solving a function equal to its inverse, what do we do

Answer 8

Set either the inverse function OR the original function = x

Question 9

How do we prove f(x) is odd

Answer 9