Unit 1B quiz #3 review

Multiple Choice

What is the Domain of this linear function?

• -3 < x ≤ 5
• x = -1
• 5 < x ≤ -3
• -2 < x ≤ 6

Multiple Choice

What is the domain of the function?

• {x| x = all real numbers}
• {x| -2 < x < 4}
• {x| -2 ≤ x ≤ 4}
• {x| -6 ≤ x ≤ 3}

Multiple Choice

What is g(7) if:

• -17
• -13 
• 13       
• 17

Multiple Choice

Find the domain of h(x):

• (- infinity, infinity)

• [2, infinity)

• (-infinity, -2]

• (-2, infinity)

Multiple Choice

What is the inverse of the function?

• $$f^{-1}\left(x\right)=\ \left(\frac{x-9}{3}\right)^3$$

• $$f^{-1}\left(x\right)=\ \left(\frac{x-3}{9}\right)^3$$

• $$f^{-1}\left(x\right)=^3\sqrt{\frac{x-9}{3}}$$

• $$f^{-1}\left(x\right)=^3\sqrt{x-9}+3$$

Multiple Choice

What is the inverse of the given function?

• $$f^{-1}\left(x\right)=^3\sqrt{5x+5}-4$$

• $$f^{-1}\left(x\right)=^3\sqrt{5x+1}$$

• $$f^{-1}\left(x\right)=^3\sqrt{5x+9}$$

• $$f^{-1}\left(x\right)=^3\sqrt{5x-4}+5$$

Multiple Choice

Find the inverse of the function including any restriction on domain

• f^-1 = (x + 3)² − 4, x ≥ −3
• f^-1 = (x − 4)² + 3,  x ≥ 4
• f^-1 = (x + 3)² − 4
• Inverse does not exist

Multiple Choice

$$f\left(x\right)=\left(x+2\right)^2-2$$  What is the vertex of

• (-2,-2)

• (-2,2)

• (2,-2)

• (2,2)

Multiple Choice

Given the equation for this parabola:
 y=-(x-4)²-3,
does this parabola have a maximum or minimum value?

• Maximum
• Minimum

Multiple Choice

What must be a FACTOR of the polynomial function f(x) graphed?

(This question is not asking for a root.)

• x + 5

• x – 5

• x + 1

• x + 2

Multiple Choice

Factor 2x² + 4x – 3x – 6 by grouping. Remember to look for Standard Form, then for common factors.

• (2x – 3)(x + 2)

• 2x² + x - 6

• (2x + 3)(x - 2)

Multiple Choice

Factor by grouping:

5n³-10n²+3n-6

• (5n²+3)(n-2)

• (5n³+3)(n-2)

• (5n²-3)(n-2)

• 10n(n²-6)

Multiple Choice

According to the Fundamental Theorem of Algebra, how many roots exist for the polynomial function f(x) = 3x^5 - x^3 + x + 6?

• 3 roots

• 4 roots

• 5 roots

• 6 roots

Multiple Choice

Describe the end behavior of the graph.

• x →∞, y→∞ and x→∞, y→⁻∞
• x →∞, y→∞ and x→⁻∞, y→∞
• x →∞, y→∞ and x→⁻∞, y→0
• x →∞,y→0 and x→∞, y→⁻∞

Multiple Choice

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient 

• Leading Coefficient Positive
  Degree - Even
• Leading Coefficient Positive
  Degree - Odd
• Leading Coefficient Negative
  Degree - Even
• Leading Coefficient Negative
  Degree - Odd

Multiple Choice

Which function has this end behavior?

• -1x⁴-3x³+3
• -2x⁷+2x⁴+4
• 3x⁸+3x⁵-4x+7
• 4x⁵-4x⁴+2x³-9

Multiple Choice

What are the roots of the polynomial function?
y = (x + 2)(x - 7)³

• -2, 7 multiplicity 3
• -2, 7, 3
• 2, -7 multiplicity 3
• 2, -7, 3

Multiple Choice

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

• x-intercept

• zero

• root

• all of these.

Multiple Choice

What is the likely degree of the polynomial that created this graph?

• 1

• 2

• 3

• 4

Multiple Choice

A polynomial function has zeros at 5 (multiplicity 2), 3 (multiplicity 1), and 0 (multiplicity 4). Write a function rule that could represent this function.

• $$f\left(x\right)=x^4\left(x-5\right)^2\left(x-3\right)$$

• $$f\left(x\right)=x^4\left(x+5\right)^2\left(x+3\right)$$

• $$f\left(x\right)=x\left(x-5\right)^4\left(x-3\right)^2$$

• $$f\left(x\right)=x\left(x+5\right)^2\left(x+3\right)^4$$

Multiple Choice

Which of the following could be the equation of this graph in factored form? (Careful-pay attention to multiplicity.)

• 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)