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In Exercises 17-19, Use the graph to determine a. The functions...
Calculus Approximate the critical numbers of the function shown in the graph. Determine whether the function...
Calculus
Approximate the critical numbers of the function shown in the graph. Determine whether the function has a relative maximum, a relative minimum, an absolute maximum, an absolute minimum, or none of these at each critical number on the interval shown. (Enter your answers as a comma-separated list.) y 7! 61 5 4 3 2 -4 -3 -2 -1 1 2 3 4 Approximate the critical numbers. X List the critical numbers at which each phenomenon occurs. (If an answer...
can i het help with this question please The graph and equation of the function f are given. a. Use the graph to find any values at which f has a relative maximum, and use the equation to calcula...
can i het help with this question please
The graph and equation of the function f are given. a. Use the graph to find any values at which f has a relative maximum, and use the equation to calculate the relative maximum for each value b. Use the graph to find any values at which f has a relative minimum, and use the equation to calculate the relative minimum for each value. fx)-2x3+3x2 -12x+7 I-5.5.1] by I-35,35,5] a. Select the...
Use possible symmetry of the graph to determine whether it is the graph of an even...
Use possible symmetry of the graph to determine whether it is the graph of an even function, an odd function, or a function that is neither even nor odd. -5-4-3-2/14 1 2 3 4 2 13- bu O The function is even. O The function is odd. O The function is neither even nor odd. AY Use the graph to determine a. the function's domain; b. the function's range; c. the x-intercepts, if any; d. the y-intercept, if any, and...
1 Use the graph to determine the following. (a) Find the numbers at which f has...
1 Use the graph to determine the following. (a) Find the numbers at which f has a relative maximum. What are these relative maxima? (b) Find the numbers at which f has a relative minimum. What are these relative minima? Q LY -5-54-32-1 2 3 4 5 6 -5 (a) The number(s) at which fhas a relative maximum is/are - (Type an integer or a decimal. Use a comma to separate answers as needed.) The relative maximum/maxima is/are (Type an...
> Derivatives and the shape of a graph 4- For the following exercises, determine a. intervals...
> Derivatives and the shape of a graph 4- For the following exercises, determine a. intervals where fis increasing or decreasing, b. local minima and maxima off, c. intervals where fis concave up and concave down, and d. the inflection points off 226. f(x)= x4 - 6x3 228. f(x)= x + x2-r3 5- For the following exercises, determine a. intervals where fis increasing or decreasing, b. local minima and maxima off, c. intervals where fis concave up and concave down,...
Determine whether or not the graph is that of a function. It is use the graph...
Determine whether or not the graph is that of a function. It is use the graph to find its domain and range, the intercepts, if any, and any symmetry with respect to the x-axis, the y-axis, or the origin. 24 O A function domain x20 range: bly? - 2) intercepts: (-2,0), (0.2), (2.0) symmetryy-ands OB. function domain all real numbers range a real numbers intercepts: (-2,0), (0.2), (2.0) symmetry: none OC. function domain: 2 - 2 range: byly 20) intercepts:...
Find the absolute maximum and minimum values of the function over the indicated interval, and indicate...
Find the absolute maximum and minimum values of the function over the indicated interval, and indicate the x-values at which they f(x)=x4-8x2+2 [-3,3] The absolute maximum value is | | at x = (Use a comma to separate answers as needed) where points of inflection occur. Do not sketch the graph box to On which A. The function is concave down on (Type your answer in in to separate answers as needed) O B. The function is never concave down...
In Exercises 19-24, the graph of an exponential function is given. Select the function for each...
In Exercises 19-24, the graph of an exponential function is given. Select the function for each graph from the following options: f(x) -3, g(x) 3-1, h(x)3 1, r--r 19 20. 2
A function and its first and second derivatives are given. Use these to find each of...
A function and its first and second derivatives are given. Use these to find each of the following. (If an answer does not exist, enter DNE.) f(x) = 12x2/3 x + 1 4(2-x) f'(x) = x1/3(x + 1)2 f"(x) = 8(2x2 - 8x - 1) 3x4/3(x + 1)3 Find any horizontal and vertical asymptotes. (Enter your answers as a comma-separated list of equations.) horizontal asymptotes vertical asymptotes Find any critical points. (x, y) = (0.0 (smaller x-value) (x, y) =...
show detailed work in each problem For the following exercises, find the local and/or absolute maxima...
show detailed work in each problem
For the following exercises, find the local and/or absolute maxima for the functions over the specified domain. 128. y = 4 sin - 3 cose over [0, 21) For the following exercises, show there is no c such that f(1)-f(-1) = f'(c)(2). Explain why the Mean Value Theorem does not apply over the interval [-1, 1). 168. f For the following exercises, determine a. intervals where f is increasing or decreasing, b. local minima...
Calculus
Approximate the critical numbers of the function shown in the graph. Determine whether the function has a relative maximum, a relative minimum, an absolute maximum, an absolute minimum, or none of these at each critical number on the interval shown. (Enter your answers as a comma-separated list.) y 7! 61 5 4 3 2 -4 -3 -2 -1 1 2 3 4 Approximate the critical numbers. X List the critical numbers at which each phenomenon occurs. (If an answer...
can i het help with this question please
The graph and equation of the function f are given. a. Use the graph to find any values at which f has a relative maximum, and use the equation to calculate the relative maximum for each value b. Use the graph to find any values at which f has a relative minimum, and use the equation to calculate the relative minimum for each value. fx)-2x3+3x2 -12x+7 I-5.5.1] by I-35,35,5] a. Select the...
Use possible symmetry of the graph to determine whether it is the graph of an even function, an odd function, or a function that is neither even nor odd. -5-4-3-2/14 1 2 3 4 2 13- bu O The function is even. O The function is odd. O The function is neither even nor odd. AY Use the graph to determine a. the function's domain; b. the function's range; c. the x-intercepts, if any; d. the y-intercept, if any, and...
1 Use the graph to determine the following. (a) Find the numbers at which f has a relative maximum. What are these relative maxima? (b) Find the numbers at which f has a relative minimum. What are these relative minima? Q LY -5-54-32-1 2 3 4 5 6 -5 (a) The number(s) at which fhas a relative maximum is/are - (Type an integer or a decimal. Use a comma to separate answers as needed.) The relative maximum/maxima is/are (Type an...
> Derivatives and the shape of a graph 4- For the following exercises, determine a. intervals where fis increasing or decreasing, b. local minima and maxima off, c. intervals where fis concave up and concave down, and d. the inflection points off 226. f(x)= x4 - 6x3 228. f(x)= x + x2-r3 5- For the following exercises, determine a. intervals where fis increasing or decreasing, b. local minima and maxima off, c. intervals where fis concave up and concave down,...
Determine whether or not the graph is that of a function. It is use the graph to find its domain and range, the intercepts, if any, and any symmetry with respect to the x-axis, the y-axis, or the origin. 24 O A function domain x20 range: bly? - 2) intercepts: (-2,0), (0.2), (2.0) symmetryy-ands OB. function domain all real numbers range a real numbers intercepts: (-2,0), (0.2), (2.0) symmetry: none OC. function domain: 2 - 2 range: byly 20) intercepts:...
Find the absolute maximum and minimum values of the function over the indicated interval, and indicate the x-values at which they f(x)=x4-8x2+2 [-3,3] The absolute maximum value is | | at x = (Use a comma to separate answers as needed) where points of inflection occur. Do not sketch the graph box to On which A. The function is concave down on (Type your answer in in to separate answers as needed) O B. The function is never concave down...
In Exercises 19-24, the graph of an exponential function is given. Select the function for each graph from the following options: f(x) -3, g(x) 3-1, h(x)3 1, r--r 19 20. 2
A function and its first and second derivatives are given. Use these to find each of the following. (If an answer does not exist, enter DNE.) f(x) = 12x2/3 x + 1 4(2-x) f'(x) = x1/3(x + 1)2 f"(x) = 8(2x2 - 8x - 1) 3x4/3(x + 1)3 Find any horizontal and vertical asymptotes. (Enter your answers as a comma-separated list of equations.) horizontal asymptotes vertical asymptotes Find any critical points. (x, y) = (0.0 (smaller x-value) (x, y) =...
show detailed work in each problem
For the following exercises, find the local and/or absolute maxima for the functions over the specified domain. 128. y = 4 sin - 3 cose over [0, 21) For the following exercises, show there is no c such that f(1)-f(-1) = f'(c)(2). Explain why the Mean Value Theorem does not apply over the interval [-1, 1). 168. f For the following exercises, determine a. intervals where f is increasing or decreasing, b. local minima...
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