Practice Quiz Section 1-4 (Form A) - Quadratic Functions

Multiple-choice exercise

Work out the problem on paper and then choose the letter for your answer. After you have successfully answered all questions, look at the top of the page to see how you did.

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Let f(x) = 2x^{2} + 12x - 7. Find the x-coordinate of the vertex.

-3

3

-6

-7

None of the answers given; click to see the solution.

Let f(x) = 2x^{2} + 12x - 7. (This is the same function as in question #1.) Find the y-coordinate of the vertex.

-25

-61

-7

47

None of the answers given; click to see the solution.

Let f(x) = 2x^{2} + 12x - 7. (This is the same function as in question #1.) Find the y-intercept.

(0,-7)

(-7,0)

(-3,-25)

(.54,0)

(-6.54,0)

None of the answers given; click to see the solution.

Let f(x) = 2x^{2} + 12x - 7. (This is the same function as in question #1.) Find the x-intercepts.

(-6.54, 0) and (.54, 0)

(-.54, 0) and (6.54, 0)

(-5.35, 0) and (-.65, 0)

None of the answers given; click to see the solution.

The revenue function for a certain product is R(x) = -0.3x^{2} + 70x and the cost function for this product is C(x) = 27x + 830. Both functions have domain 0 < x < 200. Determine the break-even points for the product to the nearest whole number.

23 and 120

22.9897 and 120.3436

22 and 121

1451 and 4079

None of the answers given; click to see the solution.

The revenue function for a certain product is R(x) = -0.3x^{2} + 70x and the cost function for this product is C(x) = 27x + 830. Both functions have domain 0 < x < 200. (These are the same functions as in question #5.) For what outputs will the company have a loss? (Round answers to the nearest whole number.)

0 < x < 23 and 120 < x < 200

23 > x > 200

23 < x < 120

None of the answers given; click to see the solution.

The revenue function for a certain product is R(x) = -0.3x^{2} + 70x and the cost function for this product is C(x) = 27x + 830. Both functions have domain 0 < x < 200. (These are the same functions as in question #5.) For what outputs will the company have a profit? (Round answers to the nearest whole number.)

23 < x < 120

x < 23 and x > 120

0 <x < 200

None of the answers given; click to see the solution.

The revenue function for a certain product is R(x) = -0.3x^{2} + 70x and the cost function for this product is C(x) = 27x + 830. Both functions have domain 0 < x < 200. (These are the same functions as in question #5.) For how many items produced (to the nearest whole number) will the company have a maximum profit?

72

117

162

6

711

None of the answers given; click to see the solution.

The revenue function for a certain product is R(x) = -0.3x^{2} + 70x and the cost function for this product is C(x) = 27x + 830. Both functions have domain 0 < x < 200. (These are the same functions as in question #5.) What is the amount of the maximum profit?

$711

$72

$2371

None of the answers given; click to see the solution.