Advanced Algebra Senior Final Exam Review 2

Senior Final Exam Review 2

Maximums & Minimums

• Maximum = high points

• Minimum = low points

• Relative/local = highest or lowest point for the area

• Absolute = highest or lowest for the function

What is the y-intercept?

The point at which the graph crosses the y-axis.

Factors & Zeros

If in factored form a polynomial

f(x) = (x-a)(x-b)(x-c), then

(x-a), (x-b), and (x-c) are "factors" and

a, b, and c are zeros - they are the x-intercepts of the graph found at points (a,0), (b,0), and (c,0).

*The zeros/x-intercepts are the opposite of what you see in the parenthesis!

Multiple Choice

The function shown contains:

• Local Max
  Local Min

  Absolute Max

• Local Max
  Local Min

• Absolute Min
  2 Local Max

• Absolute Max

Multiple Choice

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

Multiple Choice

How many zeroes are shown in the graph?

• 1

• 2

• 3

• 4

Multiple Choice

What is the equation in factored form of this graph?

• f(x) = (x-4)(x-1)²(x+2)(x+4)
• f(x) = (x-4)(x+1)²(x+2)(x+4)
• f(x) = (x-4)(x-1)²(x-2)(x+4)
• f(x) = (x+4)(x+1)²(x-2)(x-4)

Multiple Choice

What are the zeros of the function?

• 4,1
• 3,1,-2,-5
• -3, -1, 2, 5
• -2,4

Multiple Choice

What are the zeros of the polynomial function?
y = x(x - 6)(x + 5)

• 0, 6, -5
• 6, -5
• 0, -6, 5
• 1, -6, 5

Multiple Select

What are the zeros for the given polynomial? (Check all that apply)

• -4

• -3

• -2

• -1

• 2

Multiple Choice

Which equation represents the graph shown?

• $$f\left(x\right)=x\left(x+4\right)\left(x+6\right)$$

• $$f\left(x\right)=x\left(x+4\right)\left(x-6\right)$$

• $$f\left(x\right)=x\left(x-4\right)\left(x-6\right)$$

• $$f\left(x\right)=x\left(x-4\right)\left(x+6\right)$$

Multiple Choice

Find the mean of these numbers:
2, 57, 38, 42, 6

• 29
• 38
• 50
• 145

Multiple Choice

Find the mean of the numbers below:

2, 8, 6, 3, 12, 7, 4

• 5

• 6

• 7

• 8

Multiple Choice

Range:
67, 74, 95, 98, 98, 99, 102

• 102
• 67
• 98
• 35

Multiple Choice

Find the median of these numbers:
4,2,7,4,3

• 2
• 5
• 7
• 4

Multiple Choice

Describe the correlation in the graph shown.

• Strong Negative

• Strong Positive

• Weak Negative

• No Correlation

Multiple Choice

Is the association a positive or negative association?

• Positive

• Negative

Multiple Choice

Can you guess the correlation?

• Positive

• Negative

• None