International Development homework help
International Development homework help. Can you help me with this questions please? I need correct answers only.Question 1 of 205.0 PointsUse 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 C. f(-1) = -2; f(0) = 0 D. f(-1) = -5; f(0) = -3Question 2 of 205.0 PointsFind 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 3 of 205.0 PointsFind the coordinates of the vertex for the parabola defined by the given quadratic function. f(x) = 2(x – 3)2 + 1 A. (3, 1) B. (7, 2) C. (6, 5) D. (2, 1)Question 4 of 205.0 PointsThe difference between two numbers is 8. If one number is represented by x, the other number can be expressed as: A. x – 5. B. x + 4. C. x – 8. D. x – x.Question 5 of 205.0 PointsUse the Intermediate Value Theorem to show that each polynomial has a real zero between the given integers. f(x) = x3 – x – 1; between 1 and 2 A. f(1) = -1; f(2) = 5 B. f(1) = -3; f(2) = 7 C. f(1) = -1; f(2) = 3 D. f(1) = 2; f(2) = 7Question 6 of 205.0 PointsSolve the following polynomial inequality.3×2 + 10x – 8 ? 0 A. [6, 1/3] B. [-4, 2/3] C. [-9, 4/5] D. [8, 2/7]Question 7 of 205.0 PointsBased on the synthetic division shown, the equation of the slant asymptote of f(x) = (3×2 – 7x + 5)/x 4 is: A. y = 3x + 5. B. y = 6x + 7. C. y = 2x – 5. D. y = 3×2 + 7.Question 8 of 205.0 PointsAll rational functions can be expressed as f(x) = p(x)/q(x), where p and q are __________ functions and q(x) ? 0. A. horizontal asymptotes B. polynomial C. vertical asymptotes D. slant asymptotesQuestion 9 of 205.0 PointsIf f is a polynomial function of degree n, then the graph of f has at most __________ turning points. A. n – 3 B. n – f C. n – 1 D. n + fQuestion 10 of 205.0 PointsThe 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 11 of 205.0 PointsWrite an equation in standard form of the parabola that has the same shape as the graph of f(x) = 2×2, but with the given point as the vertex (5, 3). A. f(x) = (2x – 4) + 4 B. f(x) = 2(2x + 8) + 3 C. f(x) = 2(x – 5)2 + 3 D. f(x) = 2(x + 3)2 + 3Question 12 of 205.0 PointsSolve the following polynomial inequality.9×2 – 6x + 1 < 0 A. (-?, -3) B. (-1, ?) C. [2, 4) D. ØQuestion 13 of 205.0 PointsFind 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 eachQuestion 14 of 205.0 PointsThe graph of f(x) = -x3 __________ to the left and __________ to the right. A. rises; falls B. falls; falls C. falls; rises D. falls; fallsQuestion 15 of 205.0 PointsWrite an equation that expresses each relationship. Then solve the equation for y. x varies jointly as y and z A. x = kz; y = x/k B. x = kyz; y = x/kz C. x = kzy; y = x/z D. x = ky/z; y = x/zkQuestion 16 of 205.0 PointsThe graph of f(x) = -x2 __________ to the left and __________ to the right. A. falls; rises B. rises; rises C. falls; falls D. rises; risesQuestion 17 of 205.0 PointsFind 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 -3Question 18 of 205.0 PointsWrite an equation in standard form of the parabola that has the same shape as the graph of f(x) = 3x2 or g(x) = -3x2, but with the given maximum or minimum. Maximum = 4 at x = -2 A. f(x) = 4(x + 6)2 - 4 B. f(x) = -5(x + 8)2 + 1 C. f(x) = 3(x + 7)2 - 7 D. f(x) = -3(x + 2)2 + 4Question 19 of 205.0 Points8 times a number subtracted from the squared of that number can be expressed as: A. P(x) = x + 7x. B.P(x) = x2 - 8x. C. P(x) = x - x. D.P(x) = x2+ 10x.Question 20 of 205.0 PointsFind the domain of the following rational function.g(x) = 3x2/((x - 5)(x + 4)) A. {x? x ? 3, x ? 4} B. {x? x ? 4, x ? -4} C. {x? x ? 5, x ? -4} D. {x? x ? -3, x ? 4}
International Development homework help
