Functions and Graphs

Question 1

what is the domain? value?

Answer 1

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

Question 2

what is the range? value?

Answer 2

• set values coming out of the function.

- y value

Question 3

2 most common exceptions

Answer 3

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

Question 4

y = - f(x)

Answer 4

reflect y = f(x) in the x axis

Question 5

y = f(-x)

Answer 5

reflect y = f(x) in the y axis

Question 6

y = - f(-x)

Answer 6

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

Question 7

y = f(x) + a

Answer 7

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

Question 8

y = f(x - a)

Answer 8

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

Question 9

y = a f(x)

Answer 9

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

Question 10

y = f’(x)

Answer 10

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

Question 11

y= x
_
a

Answer 11

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