Spring 2021Final Exam (Algebra II/Alg II/Trig Honors)

Which of the following is NOT true of the graph of g(x) = -1 - 3x² + x³

• Rises to the right and falls to the left
• Cubic function
• y-intercept is -1
• x-intercept is -1

When dividing rational expressions...

• multiply the first rational expression by the reciprocal of the second rational expression.
• multiply the reciprocal of the first rational expression by the second rational expression.
• multiply the reciprocal of the first rational expression by the reciprocal of the second rational expression.
• divide the first rational expression by the reciprocal of the second rational expression.

• x = -2
• x = -15
• x = 8
• x = 3

What is the equation of this graph?

• f(x) = (x -5)² + 1
• f(x) = (x - 1)² - 5
• f(x) = (x + 1)² - 5
• f(x) = (x + 5)² +1

Classify by degree of polynomial:
3x² – 8x + 1

• Constant
• Linear
• Quadratic
• Cubic

What is the factored form of a function if it has zeros of 2, 3 and -1?

• (x-2)(x-3)(x+1)
• (x-1)(x-2)(x-3)
• (x-1)(x+2)(x+3)
• (x+1)(x+2)(x+3)

What is another way to say "where a function crosses the x-axis"?

• x-intercept
• zero
• root
• all of these.

Which equation MOST LIKELY matches the graph?

• y = x⁴ - x³ + 3x² + 2
• y = -x⁴ + x³ + 5x + 2
• y = x³ - 2x² + 1x + 3
• y = -x³ - 2x² + 1x + 3

Simplify

• A.
• B.
• C.
• D.

Simplify. 

• (m+6)/(m-3)
• 7/(m-3)
• 7(m+6)
• (m-3)