Algebra II Week 2

Evaluating Functions

100

If f(x) = -9x+6 find f(11)

f(11) = -93

200

f(x) = (3x+4)/2, then f(8) is

f(8) = 14

300

Given f(x) = -3x²+10, what is the value of f(-2)?

f(-2) = -2

400

A function K(x) = 2x²-5x+3. The value of K(-3) is

K(-3) = 36

500

Given f(x) = 3x-5, which statement is true?

f(0) = 0

f(4)=3

f(3)=4

f(3) = 4

Domain/Range

100

What is the domain of this function?

-infinity, infinity

200

What is the range of this function?

(-2, 2]

300

What is the domain of this function.

(-infinity, 4)

400

What is the range of this function?

(-5,5)

500

What is the domain and range of this function?

Domain: (-4, infinity)

Range: (-infinity, 1)

Transformations

100

Given the graph of the line represented by the equation f(x) = −2x + b, if b is increased by 4 units, the graph of the new line would be shifted 4 units

1) right

2) up

3) left

4) down

2) up

200

If the original function f(x) = 2x ² − 1 is shifted to the left 3 units, which expression would represent the new f(x)?

1) 2(x − 3)² − 1

2) 2(x + 3)² − 1

3) 2x²+ 2

4) 2x²− 4

2) 2(x + 3)² − 1

300

If f(x) = x², what function represents a shift 4 units to the right and 3 units down?

f(x) = (x-4)² - 3

400

Which function represents the graph of w(x) = |x| shifted 2 units to the right? 

1) g(x) = |x + 2| 

2) r(x) = |x| − 2

3) q(x) = |x| + 2 

4) h(x) = |x − 2|

4) h(x) = |x − 2|

500

When the function f(x) = x² is multiplied by the value a, where a > 1, the graph of the new function, g(x) = ax²

1) opens upward and is wider

2) opens upward and is narrower

3) opens downward and is wider

4) opens downward and is narrower

2) opens upward and is narrower

Multiply Binomials

100

(3n+2)(n+3)

3n²+11n+6

200

(n-1)(2n-2)

2n²-4n+2

300

(3p-3)(p-1)

3p²-6p+3

400

(5x-2)(5x-8)

25x²-50x+16

500

(2x+3)(2x-3)

4x²-9

Factor

100

x²+7x+6

(x+1)(x+6)

200

x²-8x-9

(x-9)(x+1)

300

m²+12m+27

(m+9)(m+3)

400

x²-6x-27

(x+3)(x-9)

500

p²-4p-45

(p+5)(p-9)