Unit 2 Review Day 2

Unit 2 Study Guide

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What to Expect: Unit 2 Test

Polynomial Function Operations

Multiple Choice

How would you find (t+h)(x)

 $t\left(x\right)=8x^4-3x^2+2\ and\ h\left(x\right)=10x^2-9x-5$  

•  $\left(8x^4-3x^2+2\right)+\left(10x^2-9x-5\right)$  

•  $\left(8x^4-3x^2+2\right)-\left(10x^2-9x-5\right)$  

•  $\left(8x^4-3x^2+2\right)\left(10x^2-8x-5\right)$  

•  $10\left(8x^4-3x^2+2\right)-9\left(8x^4-3x^2+2\right)-5$  

Multiple Choice

How would you find (t-h)(x)

 $t\left(x\right)=8x^4-3x^2+2\ and\ h\left(x\right)=10x^2-9x-5$  

•  $8x^4-3x^2+2+10x^2-9x-5$  

•  $8x^4-3x^2+2-10x^2+9x+5$  

•  $\left(8x^4-3x^2+2\right)\left(10x^2-8x-5\right)$  

•  $10\left(8x^4-3x^2+2\right)-9\left(8x^4-3x^2+2\right)-5$  

Multiple Choice

How would you find  $\left(t\circ h\right)\left(x\right)$  

 $t\left(x\right)=8x^4-3x^2+2\ and\ h\left(x\right)=10x^2-9x-5$  

•  $10\left(8x^4-3x^2+2\right)^2-9\left(8x^4-3x^2+2\right)-5$  

•  $\left(8x^4-3x^2+2\right)\left(10x^2-9x-5\right)$  

•  $8\left(10x^2-9x-5\right)^4-3\left(10x^2-9x+5\right)^2+2$  

•  $8\left(10x^2-9x-5\right)^4-3x^2+2$  

•  $10\left(8x^4-3x^2+2\right)-9x-5$  

Multiple Choice

How would you find  $\left(h\circ t\right)\left(x\right)$  

 $t\left(x\right)=8x^4-3x^2+2\ and\ h\left(x\right)=10x^2-9x-5$  

•  $10\left(8x^4-3x^2+2\right)^2-9\left(8x^4-3x^2+2\right)-5$  

•  $\left(8x^4-3x^2+2\right)\left(10x^2-9x-5\right)$  

•  $8\left(10x^2-9x-5\right)^4-3\left(10x^2-9x+5\right)^2+2$  

•  $8\left(10x^2-9x-5\right)^4-3x^2+2$  

•  $10\left(8x^4-3x^2+2\right)-9x-5$  

Multiple Choice

The length of a rectangular bookmark is 5x-9 and the width is 5x²-3x+2. Which polynomial can be used to model the perimeter of the bookmark?

• (5x-9)(5x²-3x+2)

• 2(5x-9)+2(5x²-3x+2)

• (5x-9)(5x²-3x+2)

• (5x²-3x+2) / (5x-9)

Multiple Choice

The length of a rectangular bookmark is 5x-9 and the width is 5x²-3x+2. If a square hole is cut of the the middle of the book mark 2x-3 by Which polynomial can be used to model the area of the bookmark?

• (25x³-60x²+37x-18) + (4x²-12x+9)

• (25x³-60x²+37x-18) - (4x²-12x+9)

• (4x²-12x+9) - (25x³-60x²+37x-18)

• (2x-3)(25x³-60x²+37x-18)

• (4x²-12x+9) (25x³-60x²+37x-18)

Multiple Choice

The number of CDs sold since April 8 at a music store can be modeled by the function N(d) = 11d + 15 and the price per CD can be modeled by P(d) = 8d²-2d+7, where d is the number of days since April 8. According to this model, write a polynomial to model the total amount of revenue generated by the store’s CD sales on April 18?

• 8d²-2d+7+11d+15

• 88d³-22d²+77d+120d²-30d+105

• 8d²-2d+7-11d-15

Multiple Choice

A pool is being filled with a large water hose. The height of the water in a pool is determined by 5x² +2x-4. Previously, the pool had been filled up with a different hose. Then, the height was determined by 6x²-2x-9. Write an expression that determines the height of the water in the pool if both hoses are on at the same time.

• 5x²+2x-4+6x²-2x-9

• 5x²+2x-4-6x² +2x+9

• 6x²-2x-9-5x²-2x+4

• 30x⁴-10x³-45x²+12x³-4x²-18x-24x²+8x+36

Inverse Functions

Multiple Choice

What does it mean to find the inverse of a function?

• the x's and y's are switched

• the x's and y's are divided by 2

• the x's and y's are made negative

• the x's and y's are the same

Multiple Choice

Was the inverse function found correctly?

• no,

• yes

Multiple Choice

Which is f ^-1(x)?

• f ^-1(x) = 3x + 5

• f ^-1(x) = 3x - 5

• f ^-1(x) = 3x - 15

• f ^-1(x) = 3x + 15

Multiple Choice

f(x) = -4x - 12

What is f^-1(x)?

• f^-1(x) = 4x - 3

• f^-1(x) = -1/4x - 3

• f^-1(x) = 1/4x + 3

• f^-1(x) = -4x - 3

Multiple Choice

How are you feeling about Unit 2 Test

• Good

• Ok, I need to study a little

• Kind of iffy, I will be studying

• I have no idea what's going on in this class

Multiple Select

How do you plan to prepare for the test

• review class powerpoints

• review quizizz answer keys

• do aleks practice problems

• look up videos on youtube

• practice on khan academy