Pre-Calc 1.4-1.7

Question 1

Average rate of change

Answer 1

f(x2) - f(x1)
__________
x2 - x1

Question 2

Even functions

Answer 2

f(-x) = f(x)

Symmetric to the y-axis

Question 3

Odd functions

Answer 3

f(-x) = -f(x)

Symmetric to the origin

Question 4

Vertical shift up or down

Answer 4

h(x) = f(x) +- c

Question 5

Horizontal shift left or right

Answer 5

h(x) = f(x-c) Right
h(x) = f(x+c) Left

Question 6

Reflection in x-axis

Answer 6

-f(x)

Question 7

Reflection in y-axis

Answer 7

f(-x)

Question 8

Vertical stretch or shrink

Answer 8

Stretch: c>1
Shrink: 0

Question 9

Horizontal stretch or shrink

Answer 9

Shrink: c>1
Stretch: 0

Question 10

How do you test is it is a function

Answer 10

With the vertical line test or by solving for y