Question 1 40 times a number added to the negative square of that number can be expressed as:
A. A(x) = x2 + 20x.
B. A(x) = -x + 30x.
C. A(x) = -x2 – 60x.
D. A(x) = -x2 + 40x.

Question 2 Solve the following polynomial inequality. 9×2 – 6x + 1 < 0
A. (-∞, -3)
B. (-1, ∞)
C. [2, 4)
D. Ø

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Question 3
Find the domain of the following rational function. f(x) = 5x/x – 4
A. {x │x ≠ 3}
B. {x │x = 5}
C. {x │x = 2}
D. {x │x ≠ 4}

Question 4 Find the x-intercepts. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept. f(x) = x2(x – 1)3(x + 2)
A. x = -1, x = 2, x = 3 ; f(x) crosses the x-axis at 2 and 3; f(x) touches the x-axis at -1
B. x = -6, x = 3, x = 2 ; f(x) crosses the x-axis at -6 and 3; f(x) touches the x-axis at 2.
C. x = 7, x = 2, x = 0 ; f(x) crosses the x-axis at 7 and 2; f(x) touches the x-axis at 0.
D. x = -2, x = 0, x = 1 ; f(x) crosses the x-axis at -2 and 1; f(x) touches the x-axis at 0.

Question 5 “Y varies directly as the nth power of x” can be modeled by the equation:
A. y = kxn.
B. y = kx/n.
C. y = kx*n.
D. y = knx.

Question 6 The graph of f(x) = -x2 __________ to the left and __________ to the right.
A. falls; rises
B. rises; rises
C. falls; falls
D. rises; rises

Question 7 The graph of f(x) = -x3 __________ to the left and __________ to the right.
A. rises; falls
B. falls; falls
C. falls; rises
D. falls; falls

Question 8 Find the x-intercepts. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept. f(x) = x4 – 9×2
A. x = 0, x = 3, x = -3; f(x) crosses the x-axis at -3 and 3; f(x) touches the x-axis at 0.
B. x = 1, x = 2, x = 3; f(x) crosses the x-axis at 2 and 3; f(x) crosses the x-axis at 0.
C. x = 0, x = -3, x = 5; f(x) touches the x-axis at -3 and 5; f(x) touches the x-axis at 0.
D. x = 1, x = 2, x = -4; f(x) crosses the x-axis at 2 and -4; f(x) touches the x-axis at 0.
Question 9 The perimeter of a rectangle is 80 feet. If the length of the rectangle is represented by x, its width can be expressed as:
A. 80 + x.
B. 20 – x.
C. 40 + 4x.
D. 40 – x.

Question 10 The difference between two numbers is 8. If one number is XXXXX by x, the other number can be expressed as:
A. x – 5.
B. x + 4.
C. x – 8.
D. x – x.

Question 11 Find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the graph of the following rational function. g(x) = x + 3/x(x + 4)
A. Vertical asymptotes: x = 4, x = 0; holes at 3x
B. Vertical asymptotes: x = -8, x = 0; holes at x + 4
C. Vertical asymptotes: x = -4, x = 0; no holes
D. Vertical asymptotes: x = 5, x = 0; holes at x – 3

Question 12 Find the x-intercepts. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept. f(x) = x3 + 2×2 – x – 2
A. x = 2, x = 2, x = -1; f(x) touches the x-axis at each.
B. x = -2, x = 2, x = -5; f(x) crosses the x-axis at each.
C. x = -3, x = -4, x = 1; f(x) touches the x-axis at each.
D. x = -2, x = 1, x = -1; f(x) crosses the x-axis at each

Question 13 Find the domain of the following rational function. f(x) = x + 7/x2 + 49
A. All real numbers 210
C. All real numbers ≤ 77
D. All real numbers

Question 14 Find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the graph of the following rational function. f(x) = x/x + 4
A. Vertical asymptote: x = -4; no holes
B. Vertical asymptote: x = -4; holes at 3x
C. Vertical asymptote: x = -4; holes at 2x
D. Vertical asymptote: x = -4; no holes

Question 15 5.0 Points Use the Intermediate Value Theorem to show that each polynomial has a real zero between the given integers. f(x) = 2×4 – 4×2 + 1; between -1 and 0
A. f(-1) = -0; f(0) = 2
B. f(-1) = -1; f(0) = 1 Hence, there is one zero between x = -1 and x=1
C. f(-1) = -2; f(0) = 0
D. f(-1) = -5; f(0) = -3
Question 16 Find the x-intercepts. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept. f(x) = -2×4 + 4×3
A. x = 1, x = 0; f(x) touches the x-axis at 1 and 0
B. x = -1, x = 3; f(x) crosses the x-axis at -1 and 3
C. x = 0, x = 2; f(x) crosses the x-axis at 0 and 2
D. x = 4, x = -3; f(x) crosses the x-axis at 4 and -3

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