Philosophy 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}