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Maths Multiple Choice Questions

Question # 00013629
Subject: Mathematics
Due on: 04/27/2014
Posted On: 04/27/2014 05:16 AM

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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. 9x2 - 6x + 1 < 0
A. (-?, -3)
B. (-1, ?)
C. [2, 4)
D. Ø
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 - 9x2
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
Vertical asymptotes: x = -4, x = 0; and hole at x=-3 is correct answer.
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 + 2x2 - 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
Vertical asymptote: x = -4; hole at x =0 is correct answer.
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) = 2x4 - 4x2 + 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) = -2x4 + 4x3
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

Tags questions choice multiple maths xaxis croes touches vertical graph asymptotes holes asymptote following falls xintercepts function state turns real rational intercept number rises numbers expreed hole left correct righta corresponding xquestion rectangle values domain

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Tutorial Preview …2 xxxxx the xxxxxxxxx polynomial inequality xxx - 6x x 1 xxxx x A xxxx -3) B xxxx ?) C xxx 4) x xx Question x Find the xxxxxx of the xxxxxxxxx rational xxxxxxxx xxxx = xxxx - 4 x {x ?x x 3} x xx ?x x 5} C xx ?x = xx D xxxx x 4} xxxxxxxx 4 Find xxx x-intercepts State xxxxxxx the xxxxx xxxxxxx the xxxxxxx or touches xxx x-axis and xxxxx around, xx xxxx intercept xxxx = x2(x x 1)3(x + xx A x x -1, x = 2, x = 3 x f(x) xxxxxxx xxx x-axis xx 2 and xx f(x) touches xxx x-axis xx xx B x = -6, x = 3, x = x x f(x) xxxxxxx the x-axis xx -6 and xx f(x) xxxxxxx xxx x-axis xx 2 C x = 7, x = xx x = x ; f(x) xxxxxxx the x-axis xx 7 xxx xx f(x) xxxxxxx the x-axis xx 0 D x = xxx x = xx x = x ; f(x) xxxxxxx the xxxxxx xx -2 xxx 1; f(x) xxxxxxx the x-axis xx 0 xxxxxxxx x "Y xxxxxx directly as xxx nth power xx…
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