Grade 9 Mathematics Pre-Midterm Post-Halloween Jeopardy November 1, 2024

A

100

pg. 217 #59:

f(x) = x - 1, g(x) = sqrt(x), h(x) = x - 1

f(g(h(x))) =

pg. 217 #59:

f(x) = x - 1, g(x) = sqrt(x), h(x) = x - 1

f(g(h(x))) = sqrt(x - 1) - 1

200

Find the inverse function of f(x) = (x⁵ - 3) / 2

Find the inverse function of f(x) = (x⁵ - 3) / 2

y = (x⁵ - 3)/2

2y = x⁵ - 3

x⁵ = 2y + 3

x = (2y + 3)^1/5

f^-1(x) = (2x + 3)^1/5

300

Give the left and right end behavior: x³ + 2x² - x² - x⁵

Give the left and right end behavior: x³ + 2x² - x² - x⁵

Left: infinity

Right: -infinity

400

what's my middle name

Stefan

B

100

pg. 217 #61:

f(x) = x⁴ + 1, g(x) = x³, h(x) = x² + 2

f(g(h(x))) = 

pg. 217 #61:

f(x) = x⁴ + 1, g(x) = x³, h(x) = x² + 2

f(g(h(x))) = (sqrt(x) - 5)⁴ + 1

200

Find the inverse function of f(x) = (2x + 3) / (x - 1)

Find the inverse function of f(x) = (2x + 3) / (x - 1)

y(x - 1) = 2x + 3

yx - y = 2x + 3

yx - 2x = y + 3

x(y - 2) = y + 3

x = (y + 3) / (y - 2)

f^-1(x) = (x + 3) / (x - 2)

300

Give the left and right end behavior:

f(x) = (2x⁴ - 6x³ + 4x² - 7x + 2) / (2x² + 4x⁴ - 8x + 8)

Give the left and right end behavior: 

f(x) = (2x⁴ - 6x³ + 4x² - 7x + 2) / (2x² + 4x⁴ - 8x + 8)

Left: 1/2

Right: 1/2

400

Write the domain and range using set notation:

f(x) = sqrt(5x - 6) / sqrt(2x + 8)

f(x) = sqrt(5x - 6) / sqrt(2x + 8)

Domain: [6/5, infinity)

Range: [0, sqrt(5/2))

C

100

pg. 217 #60

f(x) = 1/x, g(x) = x³, h(x) = x² + 2

f(g(h(x))) =

pg. 217 #60

f(x) = 1/x, g(x) = x³, h(x) = x² + 2

f(g(h(x))) = 1 / (x⁶ + 6x⁴ + 12x² + 8)

200

What is the domain and range? Write your answer on the board using set notation.

f(x) = sqrt(2x + 8)

What is the domain and range? f(x) = sqrt(2x + 8)

Domain: [-4, infinity)

Range: [0, infinity)

300

Give the left and right end behavior: 

f(x) = (x+3)(x-4)(5+x)

Give the left and right end behavior: 

f(x) = (x+3)(x-4)(5+x)

Left: -infinity

Right: infinity

400

Write the domain and range using set notation:

f(x) = sqrt(3x - 2) / (x² - 2x - 15)

f(x) = sqrt(3x - 2) / (x² - 2x - 15)

Domain: [2/3, 5) U (5, infinity)

Range: (-infinity, infinity)

D

100

pg. 217 #62

f(x) = sqrt(x), g(x) = x / (x - 1), h(x) = x^1/3

f(g(h(x))) =

pg. 217 #62

f(x) = sqrt(x), g(x) = x / (x - 1), h(x) = x1/3

f(g(h(x))) = sqrt(x^1/3 / (x^1/3 - 1))

200

Give the left and right end behavior: f(x) = 2x⁴ - 4x³

Give the left and right end behavior: f(x) = 2x⁴ - 4x³

Left: f(x) -> infinity

Right: f(x) -> infinity

300

f(x) = 2+x, g(x) = x² - 4

Find (f+g)(x)

f(x) = 2+x, g(x) = x² - 4

(f+g)(x) = x² + x - 2

400

Give the left and right end behavior: f(x) = 3x² / 2x⁵

Give the left and right end behavior: f(x) = 3x² / 2x⁵

Left: 0

Right: 0

E

100

pg. 217 #63: Express the function in the form of f(g(x)):

F(x) = (x - 9)⁵

pg. 217 #63: Express the function in the form of f(g(x)):

F(x) = (x - 9)⁵

g(x) = x - 9, f(x) = x⁵

f(g(x)) = (x - 9)⁵

200

Give the left and right end behavior: f(x) = -x⁴ - x³ + 2x

Give the left and right end behavior: f(x) = -x⁴ - x³ + 2x

Left: -infinity

Right: -infinity

300

f(x) = 2+x, g(x) = x² - 4

Find (fg)(x) =

f(x) = 2+x, g(x) = x2 - 4

Find (fg)(x) = x³ + 2x² - 4x - 8

400

Give the left and right end behavior: f(x) = 3x² / 2

Give the left and right end behavior: f(x) = 3x² / 2

Left: infinity

Right: infinity