7- Determine whether the given function belongs to 2 7-4) f(x) =-, , î 〈く00
3. Determine whether the given value is a root of the function. f(x) = x + 2x2 - 4x - 3; x=-2
Consider the given function f(x) = 19 4 (a) Determine whether the graph of the parabola opens upward or downward. (b) Identify the vertex. (c) Determine the x-intercept(s). (d) Determine the y-intercept(s). (e) Sketch the function. (1) Determine the axis of symmetry. (9) Determine the minimum or maximum value of the function. (h) Write the domain and range in interval notation. Write your answers in exact form. Part: 0 / 9 Part 1 of 9 (a) Determine whether the graph...
g) Sketch the graph of f(x) h) Determine the minimum or maximum value of the function. i) State the domain and the range in interval notation. 1. Given f(x)-2-3x (7 points) a) State whether the graph of the parabola opens upward or downward. b) Identify the vertex using the vertex formula. c) Determine the x-intercepts d) Determine the y-intercept. e) Determine the axis of symmetry ) Write the equation of the function fit) in vertex forrm g) Sketch the graph...
For the function, f(x)#x3-7, determine whether it is one-to-one. If the function is one-toone, fnd a formula for the inverse Select the correct choice below and, if necessary, fill in the answer box to complete your choice. ○ A. Yes, the function is one-to-one. The inverse function is f (x)- O B. No, the function is not one-to-one. For the function, f(x)#x3-7, determine whether it is one-to-one. If the function is one-toone, fnd a formula for the inverse Select the...
For the function f(x), determine whether or not f is continuous and/or differentiable at the following points. Also using only the given function (not a graph), determine what occurs graphically at these points. f(x) = 1, X, x² - 12, x < 0 0<x< 4 X > 4 (a) At x = 0, f(x) is ---Select--- . At this point, the graph of f(x) has ---Select--- (b) At x = 2, f(x) is ---Select--- . At this point, the graph...
a. e. b. f. 7. Given the function f(x) = 4(2)* - 3 , the equation of the horizontal asymptote is a. X=-3 e. y=-3 b. X=4 f. y = -2 c. X= 3 g y = 2 d. y = 0 h. none of these 8. If we apply the mapping (x,y) → (x-3,- 2y + 1) to f(x) = (3)* , the equation of the image is y = 2(3) *-3 + 1 y=-(3)*+2 + 1 =-2(3)*+3+1 y=-2(3)*+3...
Consider the function f(x) = 4(x - 2)2/3. For this function there are two important intervals: (- 00, A) and (A, 0c) where A is a critical number. Ais For each of the following intervals, tell whether f(x) is increasing or decreasing. (-0, A): Select an answer v (A, 0): Select an answer v For each of the following intervals, tell whether f(x) is concave up or concave down. (- 00, A): Select an answer (A, 00): Select an answer
Question 7 4 pts Given the following polynomial function: f(x) = 2 - 8x2 + 162 determine the maximum number of real zeros for this function, not the number of rational zeros.
7. Consider the function f on U50 defined by f(x) = [x2] where [2²] repre- sents the equivalence class of Ug that x2 belongs to. Verify that this is a homomorphism and then determine its kernel.
Vector field F = î 3y + ŷ (5 – 2x) + î (22 – 2) is given. Find: (e) The surface integral of the normal component of the curl of F over the open hemisphere x + y2 + z = 4 above the x-y plane.