60 Answered Questions for the topic Intervals

03/06/15

Consider the function f(t) = 6sqrt(x) + 9
Consider the function f(t) = 6sqrt(x) + 9 on the inverval [1,10].  Find the average or mean slope of the function on this interval    By the Mean Value Theorem we know there exists a c in the... more
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Intervals Concave

01/04/15

Ap Calculus, Intervals
Determine the open intervals whewhere the graph of f (x)=-(1)/(x+1)^2 is concave up or concave down.
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Intervals

10/19/14

Intervals of Increase?
A generator produces electrical power, P, in watts, according to the function: P(R)= 120/ (0.4 + R)^2 where R is the resistance, in ohms. Determine the intervals on which the power is increasing.
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Intervals Functions

10/05/14

Find the intervals where the following functions increasing
a) y=x3 + e2x b) y=5xe-4x c) y=x2e-(x^x)
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Intervals Business Calculus

10/02/14

Help with business calc!
Suppose g'(x)= x^4 +x^2 +1. Find the x values in the interval [-3,4] where g(x) takes its minimum.    The answer is at x=-3 but why? I'm not sure how to get this.
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06/19/14

Find the open intervals on which f is concave up (down). Then determine the x-coordinates of all inflection points of f.
Let f(x)=(7x-2)/(x+2). Find the open intervals on which f is concave up (down). Then determine the x-coordinates of all inflection points of f.  1. f is concave up on which intervals? 2. f is... more
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Intervals Function

06/19/14

Solve the question regarding the four intervals
Consider the function f(x)=5x+6x-1. For this function there are four important intervals: (-infinity,A],[A,B),(B.C) and [C,infinity) where A, and C are the critical numbers and the function is not... more
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Intervals Minimum Decreasing

06/18/14

On which two intervals is the function increasing?
For x E [-11,11] the function f is defined by  f(x)=x6(x-2)5 1- on which two intervals is the function increasing? 2- Find the region in which the function is positive: 3- Where does the... more
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Intervals Calculus Derivative

12/29/12

State why Rolle's Theorem does not apply to f(x)= x^(2/3) on the interval [-1,1]
Please explain how to figure out the problem. Which answer is correct and why? a) f is not continuous on [-1,1] b) f is not defined on the entire interval c) f is not differentiable at x=0 d)... more
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12/29/12

Use the graph of f(x)= x^2/x^2-4 to determine on which of the following intervals Rolle's Theorem applies?
How do you figure out this problem and which answer is right and why? Choices: a) [0,3] b) [-3,3] c) [-3/2,3/2] d) [-2,2] e) none of these
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