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

Multiple-choice exercise

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Let f(x) = -3x^{2} + 9x + 5. Find the x-coordinate of the vertex.

1.5

-1.5

-6

5

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

Let f(x) = -3x^{2} + 9x + 5. (This is the same function as in question #1.) Find the y-coordinate of the vertex.

11.75

25.25

5

-15.25

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Let f(x) = -3x^{2} + 9x + 5. (This is the same function as in question #1.) Find the y-intercept.

(0, 5)

(5, 0)

(1.5, 11.75)

(-.48, 0)

(3.48, 0)

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Let f(x) = -3x^{2} + 9x + 5. (This is the same function as in question #1.) Find the x-intercepts.

(-.48, 0) and (3.48, 0)

(.48, 0) and (-3.48, 0)

(.74, 0) and (2.26, 0)

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

The revenue function for a certain product is R(x) = -0.2x^{2} + 65x and the cost function for this product is C(x) = 18x + 950. Both functions have domain 0 < x < 300. Determine the break-even points for the product to the nearest whole number.

22 and 213

22.33568 and 212.6643

23 and 212

1352 and 4778

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

The revenue function for a certain product is R(x) = -0.2x^{2} + 65x and the cost function for this product is C(x) = 18x + 950. Both functions have domain 0 < x < 300. (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 < 22 and 213 < x < 300

22 > x > 300

22 < x < 213

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

The revenue function for a certain product is R(x) = -0.2x^{2} + 65x and the cost function for this product is C(x) = 18x + 950. Both functions have domain 0 < x < 300. (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.)

22 < x < 213

x < 22 and x > 213

0 < x < 300

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

The revenue function for a certain product is R(x) = -0.2x^{2} + 65x and the cost function for this product is C(x) = 18x + 950. Both functions have domain 0 < x < 300. (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?

118

163

208

5

1811

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

The revenue function for a certain product is R(x) = -0.2x^{2} + 65x and the cost function for this product is C(x) = 18x + 950. Both functions have domain 0 < x < 300. (These are the same functions as in question #5.) What is the amount of the maximum profit?

$1811

$118

$7661.20

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