Question

. Consider the following. f (x) = x^5 − x^3+5 , − 1 ≤ x ≤...

.

  1. Consider the following. f (x) = x^5 − x^3+5 , − 1 ≤ x ≤ 1

(a) Use the graph to find the absolute maximum and minimum values of the function to two decimal places.

(b) Use calculus to find the exact maximum and minimum values

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Consider: f(x)=ex-3x^2 Use the graphs of f' and f''. 1) What does the graph of f’...
Consider: f(x)=ex-3x^2 Use the graphs of f' and f''. 1) What does the graph of f’ tell you about: a) asymptotes for f? (exact values and why?) b) intervals where f is increasing? where f is decreasing? (exact values and why?) c) x –values where f has a local minimum? local maximum? absolute minimum? absolute maximum? (exact values and why?) 2) What does the graph of f” tell you about: a) concavity of f? (exact values and why?) b) inflection...
Find the absolute maximum and absolute minimum of the function f(x) = x 3 − 6x...
Find the absolute maximum and absolute minimum of the function f(x) = x 3 − 6x 2 + 5 on interval [3, 6] This problem is from chapter 4 of calculus early transcendentals
consider the function f(x)=3x-5/sqrt x^2+1. given f'(x)=5x+3/(x^2+1)^3/2 and f''(x)=-10x^2-9x+5/(x^2+1)^5/2 a) find the local maximum and minimum...
consider the function f(x)=3x-5/sqrt x^2+1. given f'(x)=5x+3/(x^2+1)^3/2 and f''(x)=-10x^2-9x+5/(x^2+1)^5/2 a) find the local maximum and minimum values. Justify your answer using the first or second derivative test . round your answers to the nearest tenth as needed. b)find the intervals of concavity and any inflection points of f. Round to the nearest tenth as needed. c)graph f(x) and label each important part (domain, x- and y- intercepts, VA/HA, CN, Increasing/decreasing, local min/max values, intervals of concavity/ inflection points of f?
The function f(x) = x^3 − 6x^2 − 15x + 1 has critical values x =...
The function f(x) = x^3 − 6x^2 − 15x + 1 has critical values x = −1 and x = 5. Use calculus to determine whether each of the critical values corresponds to a relative maximum, minimum or neither.
Consider the function f(x) = x3 − 2x2 − 4x + 9 on the interval [−1,...
Consider the function f(x) = x3 − 2x2 − 4x + 9 on the interval [−1, 3]. Find f '(x). f '(x) = 3x2−4x−4 Find the critical values. x = Evaluate the function at critical values. (x, y) = (smaller x-value) (x, y) = (larger x-value) Evaluate the function at the endpoints of the given interval. (x, y) = (smaller x-value) (x, y) = (larger x-value) Find the absolute maxima and minima for f(x) on the interval [−1, 3]. absolute...
consider the function f(x) = x/1-x^2 (a) Find the open intervals on which f is increasing...
consider the function f(x) = x/1-x^2 (a) Find the open intervals on which f is increasing or decreasing. Determine any local minimum and maximum values of the function. Hint: f'(x) = x^2+1/(x^2-1)^2. (b) Find the open intervals on which the graph of f is concave upward or concave downward. Determine any inflection points. Hint f''(x) = -(2x(x^2+3))/(x^2-1)^3.
Verify that the function f(x)=(1/3)x3+x2−3x attains an absolute maximum and absolute minimum on [0,2]. Find the...
Verify that the function f(x)=(1/3)x3+x2−3x attains an absolute maximum and absolute minimum on [0,2]. Find the absolute maximum and minimum values for f(x) on [0,2].
1. Use f(x) as defined below to complete parts (a) - (f). Draw an accurate graph...
1. Use f(x) as defined below to complete parts (a) - (f). Draw an accurate graph of the function on the grid below. Your graph should be detailed with all applicable asymptotes and points of interest: x and y intercepts, local and absolute minimum(s) (specify which on graph), local and absolute maximum(s). Leave all numerical values exact. f(x) = (x−1)√(4 + x) (a) domain: (b) range: (c) end behavior lim f(x) = x→−∞ lim f(x) = x→∞ (d) critical values...
5- For f ( x ) = − x 3 + 7 x 2 − 15...
5- For f ( x ) = − x 3 + 7 x 2 − 15 x a) Find the intervals on which f is increasing or decreasing. Find the local (or absolute) maximum and minimum values of f. b) Find the intervals of concavity and the inflection points.
Find the absolute maximum and minimum of the function f(x)=(2x2 +1)x4/3 for x∈[−1,8] Express your answers...
Find the absolute maximum and minimum of the function f(x)=(2x2 +1)x4/3 for x∈[−1,8] Express your answers in simple exact form.