Pre-Calc Unit 1

Fun Facts

Average Rate

Transformations

Inverse Functions

Combining Functions

100

What day is Halloween?

October 31

100

Find the Average Rate

Point 1: (8, 11)

Point 2: (12, 15)

The average rate is 1

100

Let f(x) be the parent function and g(x) be the new function. Describe the transformation g(x) = f(x+2) -4

Translates left 2 and down 4

100

f(1) = 3

Find the inverse

F^-1(3) =1

100

Let f(x) = 3x-6 and g(x) = x+7. Find f(x) + g(x)

4x + 1

200

What day is Ms. Cole going to out?

April 16

200

Find the Average Rate

Point 1: (20, 23)

Point 2: (25, 18)

The average rate is -1

200

Let f(x) be the parent function and g(x) be the new function. Describe the transformation g(x) = -f(x)

Reflects over the x-axis

200

True or False: If the f^-1(3) =4, then f(4) =3

True

200

Let f(x) = x+ 7 and g(x) = 8x - 9. Find f(x) - g(x).

-7x + 16

300

When is the first greendot day?

September 14

300

When my average rate is positive, is the the rate increasing or decreasing

increasing

300

Use function notation to translate f(x) to g(x) 3 units to the left and 7 units up.

g(x) = f(x+3)+7

300

Find the inverse of the following

f(4) = 13

f(2)= 5

f(12) = 34

f^-1(13) = 4

f^-1(5) =2

f^-1(34) =12

300

Let f(x) = 2x+3 and g(x)= 4x -5. Find f(x)g(x). (multiplying)

8x²+2x-15

400

What other math subject does Ms. Cole teach?

Algebra 2

400

Let f(x) = 6x+3. Find the average rate between x= 2 and x=3

The average rate is 6

400

Let f(x)=x² be the parent function and g(x) be the new function. Describe the transformation g(x) = -(-x+4)²

Reflected across both the x and y axis.

Translated left 4 units

400

Find the inverse of f(x) = 5x +4

f^-1(x) = (x-4)/5

400

Let f(x) = x + 4 and g(x) = 3x+7. Find f(g(4))

f(g(4)) = 23

500

What college did Ms. Cole attend?

CSU Dominguez Hills

500

Let f(x) = 3x+7. Find the average rate between x= 3 and x= 6

The average rate is 3

500

Let f(x)=x² be the parent function and g(x) be the new function. Describe the transformation g(x) = (-x-9)²+5

Reflected across the y-axis

Translated right 9 and up 5 units

500

Find the inverse function of f(x)=3x+9

f^-1(x)= (x-9)/ 3

500

Let f(x) = 4x+ 1 and g(x) = 7x+10 . Find f(g(x))

28x+41