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Name: 1. For the function f(x) = x2 – 1 find and simplify: a. f(-2) b....
D for the function f(x) = -X2 +0X-2 al find exact intercepts b) find the exact maximum c) graph and mark maximum and intercep 2) use the graph to find a) The Domain b) The intervals of increase c) The intervals of decrease d) What is the local minimum e what is the local maximum f) range 1-4,2 10,3) (4,2) (2, 04
An open box is made from a square piece of cardboard 20 inches on a side by cutting identical squares from the corners and turning up the sides.(a) Express the volume of the box, V , as a function of the length of the side of the square cut from each corner, x. (b) Find and interpret V (1),V (2),V (3),V (4), and V (5). What is happening to the volume of the box as the length of the side...
The function f is defined as follows. f(x)- 4x-3 if x21 (a) Find the domain of the function. (b) Locate any intercepts. (c) Graph the function. (d) Based on the graph, find the range. (e) Is f continuous on its domain? The function f is defined as follows. f(x)- 4x-3 if x21 (a) Find the domain of the function. (b) Locate any intercepts. (c) Graph the function. (d) Based on the graph, find the range. (e) Is f continuous on...
Find the domain of the function f(x) = x-3 x2 +9x-225mg using interval notation. Determine if the following function is even, odd, or neither. Explain. f(x) = 2x - 5x3
Find the absolute maximum and minimum of the function f(x, y) -ry1 on the domain D (r, y),y 20, x2 +y2< 1) rty+1 Find the absolute maximum and minimum of the function f(x, y) -ry1 on the domain D (r, y),y 20, x2 +y2
A quadratic function f is given. flx) = -x2. 4x 3 (a) Express f in transformation form. f(x) (b) Find the vertex and x and y-intercepts of f. (If an answer does not exist, enter DNE.) (x, y) vertex (x, y) (smaller x-value) x-intercepts (x, y) (larger x-value) (x, y) yintercept (c) Sketch a graph of f. Tools Actions Clear Al 1. Select an object from the Tools menu to the left. Delato 2. Enter coordinates in Object Properties below,...
[2 points] Find the absolute maximum and minimum values of the function f(x, y) = e*- (x2 +2y2) on the domain D: {x,y) | x2 + y24}. 13. [2 points] Find the absolute maximum and minimum values of the function f(x, y) = e*- (x2 +2y2) on the domain D: {x,y) | x2 + y24}. 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...
16 For the quadratic function f(x) = -x2 - 8x, answer parts (a) through (c) (a) Graph the quadratic function by determining whether its graph opens up or down and by finding its vertex, axis of symmetry, y-intercept, and X-intercepts, if any. Does the graph off open up or down? 12 8- up Odown 2015 12 118 12 16 What are the coordinates of the vertex? The vertex of the parabola is (Type an ordered pair. Use integers or fractions...
The domain of the piecewise function is (-00,00). a. Graph the function. b. Use your graph to determine the function's range. if x2 f(x) = 2x - 2 if x22 a. Choose the correct graph below. OA. B. у 10- 10- 10 х 10 10 -10 -10 b. The range of f(x) is (Type your answer in interval notation.)