# Functions and Graphs Flashcards

1

Q

what is the domain? value?

A

- set values put into the function.
- x value
- set of real numbers, R

2

Q

what is the range? value?

A

- set values coming out of the function.

- y value

3

Q

2 most common exceptions

A

- functions involving division ( as division by 0 is impossible)
- functions involving square roots ( as the square root of a negative number is impossible)

4

Q

y = - f(x)

A

reflect y = f(x) in the x axis

5

Q

y = f(-x)

A

reflect y = f(x) in the y axis

6

Q

y = - f(-x)

A

give y = (x) half turn rotation about the origin

7

Q

y = f(x) + a

A

slide y = f(x) a units up ( parallel to the y - axis )

8

Q

y = f(x - a)

A

slide y = f(x) a units to the right (parallel to the x - axis )

9

Q

y = a f(x)

A

stretch y = f(x) parallel to the y - axis by the scale factor of a

10

Q

y = fâ(x)

A

the graph of the derivative of y = f(x)

11

Q

y= x

_

a

A

stretch y = f(x) parallel to the x - axis by a scale factor of a