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quiz_2.docxMATH 107 Quiz 2
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Each question is worth 5 points. Questions 1 – 5 are multiple choice; you do not need to show your work. Short answers for Questions 6 – 10; show your work to earn full credit – highlight answers in yellow or draw a box around the answer. You can insert additional lines if needed.
Leave answers in exact form unless otherwise directed to approximate the results. Write all fractions in lowest form and round decimals to hundredths. Write answers using positive exponents except when using scientific notation. Simplify all radicals and rationalize the denominators. Write complex numbers in the form a + bi. Applied problems must have the variables identified and an equation for full credit.
MULTIPLE CHOICE Check the box of the one alternative that best completes the statement or answers the question.
1.) Find the distance between the pair of points, (-1.1, 2.1) and (1.7, 2.6). Give an approximation to two decimal places.
☐ 4.74
☐ 2.84
☐ 6.82
☐ 5.46
☐ None of these
2.) Find the domain of the function. Given answer in set notation.
☐
☐
☐
☐
☐ None of these
3.) Given that g(x) = 2x3, find g(3 + h).
☐ 54 - 54h + 12h2 – 2h3
☐ 54 + 54h + 18h2 + 2h3
☐ 27 + 27h + 18h2 + 3h3
☐ -54 + 54h - 6h2 + h3
☐ None of these
4.) For the pair of functions, find the indicated product, (fg)(x). f(x) = 4x - 3, g(x) = 8x - 1
☐ 32x2 + 3
☐ 32x2 – 25x + 3
☐ 12x2 – 28x – 4
☐ 32x2 -28x + 4
☐ None of these
5.) Graph the function:
☐ ☐
☐ ☐
☐ None of these
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Short answers. You must show your work to earn full credit. Highlight answers in yellow or draw a box around the answer.
6.) The mathematical model C = 300x + 60,000 represents the cost in dollars a company has in manufacturing x items during a month. How many items were produced if costs reached $270,000?
7.) A rectangular sign is being designed so that the length of its base, in feet, is 20 feet less than 4 times the height, h. Express the area of the sign as a function of h.
8.) For the function f, construct and simplify the difference quotient for .
9.) Determine algebraically whether the graph is symmetric with respect to the x-axis, the y-axis, and the origin. x2 + xy2 = -3
10.) The points (-6, 7) and (2, 5) are the points at which the diagonal of a square intersects the square. What are the coordinates of the center of the square?
