PC 10 Chapter 1 Review Game

Functions

100

f(x) = 2x + 3

g(x) = 3x + 2 +x²

Find f(5) 

f(5) = 13

200

f(x) = 2x + 2

g(x) = x²-4x+2

Find g(4)

g(4) = 2

300

f(x) = {2x + 1,       x < 2

           3x,             2 ≤ x ≤ 4

       x² + 2x + 3,}   x > 4

Find f(3), f(-2), f(7), and f(2)

f(3) = 9

f(-2) = -3

f(7) = 66

f(2) = 6

400

f(x) = x³ + 5x

g(x) = x²-4x

Find f(3) and g(2)

f(3) = 42

g(2) = -4

500

5/x² -3

Find f(4)

f(4) = 5/13

Lines

100

If m = 4, what is the perpendicular slope?

m = -1/4

200

Find the slope: (2,3) (4,2)

m = -1/2

300

Write the point-slope form through the line (3,4) when the slope is 2

y - 4 = 2(x - 3)

400

Write the point-slope form through the line (2,6) and is parallel to the line 9x - 3y = 5

y - 6 = 3(x - 2)

500

Write the point-slope form through the line (2,8) and is perpendicular to the line 5x + 20y = 5

y - 8 = 4(x - 2)

Graphs

100

Write the shift or transformation of the following equation: y = (x-2)²

Horizontal shift: 2 to the right

200

Write the shift or transformation of the following equation:

y = 3f(x+3)² - 3

Horizontal shift is 3 to the left

Vertical shift is 3 down

Vertical stretch of 3

300

Find the domain of the following function:

f(x) = √x-2

The domain is x ≥ 2

400

The coordinates of a graph are (-5,0), (-3,1), (0, 4) and (4,2)

Find the Domain and Range of the following graph

Domain = -5 ≤ x ≤ 4

Range = 0 ≤ y ≤ 4

500

Does the graph y = -(x-3)² have a min and a max? If it does, state the max and/or min

The graph y = -(x-3)² has a max of (3,0)

The graph does not have a min

Combination of Functions

100

If f(x) = 2x + 3 and g(x) = 3x + 3

Find (f+g)(x)

(f+g)(x) = 5x + 6

200

If f(x) = 5x + 4 and g(x) = 4x + 3

Find (f - g)(x)

(f-g)(x) = x + 1

300

If f(x) = 2x + 2 and g(x) = 4x + 1

Find f(g(x))

f(g(x)) = 8x + 4

400

If f(x) = x² - 2x - 63 and g(x) = 5x² - 4x + 5

Find (g/f)(x) and the Domain

(g/f)(x) = 5x² - 4x + 5 / 3x² - 3

Domain of (g/f)(x): x ≠ 9 , -7

500

If f(x) = 3x + 4 and g(x) = 5x + 2

Find (f+g)(x+4)

(f+g)(x+4) = 8x + 38

Inverse Functions

100

If f(x) = (3,4) and (5,8) 

Find f^-1(x)

f^-1 = (4,3) and (8,5)

200

Does y = x² - 5 pass or fail the horizontal line test and why? 

It fails the horizontal line test because it hits graph more than once horizontally meaning that it's not an inverse function.

300

Find the inverse of the following equation:

y = 4x - 2

x/4 + 1/2 = y

400

Find the inverse of the following equation:

y = (x-5)^1/3

x³ + 5 = y

500

Find the inverse of the following equation:

y = (5x + 6)³

x^1/3/5 - 6/5 = y