MTH 209 Week 4 Quiz

MTH 209 Week 4 Quiz

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209 WK4 Quiz

The material presented below is not meant to be a comprehensive list of all you need to know in the content area. Rather it is a starting point for building your knowledge and skills. Additional study materials are recommended in each area below to help you master the material.

Your Answers: 16 / 16 Correct (100%)

1.

Solve for x in the equation x2 – 3x – 4 = 0.

{-1, -4}

{1, -4}

{-1, 4}

{1, 4}

2.

Consider the equations:

f(x)=-6x-1 and g(x)=4x^2

Select the solution for (f+g)(x) .

3.

Consider the equations:

f(x)=-6x-1 and g(x)=4x^2

Select the solution for (fg)(x) .

4.

Select the x-coordinate of the vertex of the parabola defined by the function f(x) = -3×2 + 5x + 9.

5.

Determine the equation of g(x) that results from translating the function f(x) = x2 + 9 upward 14 units.

g(x) = (x + 23)2

g(x) = (x + 14)2 + 9

g(x) = x2 – 5

g(x) = x2 + 23

6.

Determine the equation of g(x) that results from translating the function f(x) = (x + 10)2 to the right 13 units.

g(x) = (x – 3)2

g(x) = (x + 23)2

g(x) = (x + 10)2 – 13

g(x) = (x + 10)2 + 13

7.

Select the approximate values of x that are solutions to f(x) = 0, where

f(x) = -3×2 + 6x + 9.

{–0.33, 0.67}

{-3, 6}

{–2.00, –3.00}

{–1.00, 3.00}

8.

Select the approximate values of x that are solutions to f(x) = 0, where

f(x) = -7×2 + 8x + 3.

{1.44, –0.30}

{-7, 8}

{–1.14, –0.43}

{–2.33, 2.67}

9.

Select the approximate values of x that are solutions to f(x) = 0, where

f(x) = -4×2 + 2x + 8.

{–1.19, 1.69}

{-4, 2}

{–0.50, –2.00}

{–0.50, 0.25}

10.

Solve for x in the equation x2 – 15x + 56 = 0.

{7, 8}

{-7, 8}

{7, -8}

{-7, -8}

Incorrect!

Need help with this exercise? Review the following reading assignment.

Week 4 Reading

11.

If and , which expression represents for x1?

12.

Which of the following conclusions is true about the statement below?

The statement is never true.

The statement is true when x=0.

The statement is true when x is negative.

The statement is always true.

Incorrect!

13. Consider the diagram below.

The function h(x) = 1/98*x^2 decribes h(x) …

57.4 feet

121.2 feet

229.6 feet

85.7 feet

Correct!

14. The profit (P),in dollars,for a company is modeled by the function

P(x) = -750x^2+15000x

10 ≤ x < 20

x < 2

2 < x ≤ 10

x 20

15.

Which of the following sentence is true about the graphs of y=3(x-5)^2+1 and y=3(x+5)^2+1 ?

One graph has a vertex that is a maximum, while the other have a vertex that is a minimum.

The graphs have the same shape with different vertices.

Their vertices are maximums.

The graphs have different shapes with different vertices.

16.

Nancy made the following statement:

The range of f(x) = ax + b is the set of all real numbers given that a and b are real numbers.

Which produces a counter example to her statement?

b = 0

a < 0

b < 0

a = 0
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