Math Analysis Honors - Unit 2 - Review

Multiple Choice

Write an equation in slope intercept form that is perpendicular to y = -3x + 4 and passes through the point (9,5).

• y = 3x - 32

• y = -3x + 22

• y = 1/3x - 8

• y = 1/3x + 2

Multiple Choice

Write an equation in slope intercept form that is parallel to 4x - 2y = -6 and passes through the point (3, -4).

• y = 2x + 10

• y = 2x -10

• y = -2x -10

• y= -2x - 2

Multiple Choice

Evaluate f(-2) if f(x) = x²+ 3

• -1

• 1

• 7

• -7

Multiple Choice

If f(x) = -4x - 5 and
g(x) = 3 - x,
what is g(-4) + f(1)?

• 7
• -2
• -9
• -10

Multiple Choice

Given f(x) = x + 2 and g(x) = 3x. Find $$\left(fg\right)\left(1\right)$$  

• 6

• 9

• 3

• 1

Multiple Choice

If f(x) = -4x - 5

what is f(x-1)?

• -4 (x - 1) - 5

• -4x -x -5

• -4x - 1

• -4x + 1

Multiple Choice

What is the domain of this function?

• (-∞,-2)u(-2,∞)

• [-2,2]

• (-2,2)

• (-∞,-2]u[-2,∞)

Multiple Choice

The domain of function f(x) = x² - 2x + 1 is all real numbers

• TRUE

• FALSE

Multiple Choice

Where is the graph continuous?

• $$\left(-\infty,\ -1\right)U\ \left[-1-\infty\right)$$  

• Infinite Continuity

• $$\left[-1-\infty\right)$$  

• Infinite Discontinuity

Multiple Choice

Which graph matches:

-x+4 if x < 2

2x-6 if x ≥ 2

• A

• B

• C

• D

Multiple Choice

Describe the transformations from f(x)=x²

f(x) = (x-3)² + 5.  

• Left 3 and up 5

• Right 3 and down 5

• Left 3 and down 5

• Right 3 and up 5

Multiple Choice

Describe the transformation from the Absolute Value Parent Function.

• Stretches more narrow, shifts up 4 units

• Stretches more narrow, shifts down 4 units

• Compresses wider, shifts up 4 units

• Compresses wider, shifts down 4 units

Multiple Choice

Write an absolute value function given the following transformations: Reflection across the x-axis, horizontal shift right 2 units, vertical shift down 7 units

• y = -|x + 2| - 7 

• y = |x - 2| - 7 

• y = -|x - 2| - 7

• y = -|x - 2| + 7

Multiple Choice

Test symmetry for  $$y=3x^8-7x^2+2$$  

• symmetric with respect to the x-axis

• symmetric with respect to the y-axis

• symmetric with respect to the origin

• Neither

Multiple Choice

Use the symmetry tests to determine the type of symmetry for:  $$x=y^2-4$$  

• symmetric with respect to the x-axis

• symmetric with respect to the y-axis

• symmetric with respect to the origin

• Neither

Multiple Choice

Identify the type of symmetry based on the graph:

• symmetric with respect to the x-axis

• symmetric with respect to the y-axis

• symmetric with respect to the origin

• Neither

Multiple Choice

$$y=12x^7+6x^5-8x^3+4x$$  

• Even Function

• Odd Function

• Function - neither even nor odd

• Not a function

Multiple Choice

$$y=\frac{3x^4}{\sqrt{x^2-7}}$$  

• Even Function

• Odd Function

• Function - neither even nor odd

• Not a function

Multiple Choice

$$y=8x^{12}-8x^4+6x+22$$  

• Even Function

• Odd Function

• Function - neither even nor odd

• Not a function