(6 pts) (11) Find the domain and range of the function (x) - 3 - 25...
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...
Give the domain and range of the quadratic function whose graph is described. The vertex is (-4,- 6) and the parabola opens down. The domain of f is _______ .
Find a function whose graph is a parabola with vertex (4,-6) and that passes through the point (5,-3). Your answer is f(x) =
2-5 1. Find the Domain of the function and identify any asymptotes (6 pts.) 3. Find the equation of an ellipse with vertices (0, 2) and (8, 2) and a minor axis length of length 6. (3 pts.) (@ y"3x - 1 (6) S(x)- (c) "(x)=-**-***10 4. Graph the conic and identify the type of conic, the center, vertices, and foci, if applicable.(8 pts.) (9251 2. Identify any x-intercepts; y-intercepts and asymptotes of the graph of the function. Then sketch...
Question 1. 30% Given the function f(x, y) = e 1. Specify the domain and range of f. 2. Describe the level curves off and graph the one that passes through the point (2,4). 3. Find the limit, if possible, when (x,y) approaches (0,0) of the function f(x,y). 4. Find the equation of the tangent plane and the normal line to surface defined by at the point (1,1,e). 5. We now let x = 12 and y = In 3t...
Problem 1 The function P(x) is given as a graph, Find the domain of P Find the range of P Evaluate P(2) For what value of x is P(x) = -1 . -5-4-3-2-1 12 34 5 P(x) . Problem 2 Write a function f as a set of ordered pairs with the following domain and range Domain: (2,-3,0) Range: (6,2,1.5, -1} Evaluate f(0)
The function f has a domain of [0, 4 and a range of [0, 3]. Start by sketching a potential graph of f. a. Suppose the function g is defined as g(a) - f(r) +5. Determine the domain and range of g i. Domain: Preview no answer given ii. Range Enter an interval using interval notation [more..] 丼 revieW no answer given b. Suppose the function h is defined as h(x) - 3f(r). Determine the domain and range of h...
11. Given the function f(x) = 2sin(x). (11 pts total) NG -21 -5 -4 1 -6 -3 -2 -1 Mće. @p1 (4 pts) a. Graph fon the axes above. How should the domain be restricted so that f is one-to-one? Write your answer using set-builder notation. (4 pts) b. Algebraically find the inverse function, f-1(x). Sketch the graph of f-1 on the axes above. Remember that the graphs off and f-1 are symmetric about the 45° line! (3 pts) C....
1. Find the largest possible domain and the range of the function f(x) = 210. x+1 2. Reduce the rational function 15x71x71, into partial fractions. (x+4)(3x-1)2 3. Find the general solutions of the trigonometric equation: 5 sin x – 12 cos x = 13.
2 2. For function h(x) - a. Find (-1) b. Find the domain of h(x), write your answer in set-builder notation. 2 c. For function (x) h'(x) and state the domain and range of h'(x). 3. a. What is the relationship between the graph of a function and the graph of its inverse? b. Graph the function (x) = V1 – 3 and its inverse on the same coordinate system. Determine at least 3 points on each graph. Label each...