Question

For the following exercises, draw a graph that satisfies the given specifications for the domain x=[−3,3]....

For the following exercises, draw a graph that satisfies the given specifications for the domain x=[−3,3]. The function does not have to be continuous or differentiable.

216.

f(x)>0,f′(x)>0 over x>1,−3<x<0,f′(x)=0 over 0<x<1

217.

f′(x)>0 over x>2,−3<x<−1,f′(x)<0 over −1<x<2,f″(x)<0 for all x

218.

f″(x)<0 over −1<x<1,f″(x)>0,−3<x<−1,1<x<3, local maximum at x=0, local minima at x=±2

219.

There is a local maximum at x=2, local minimum at x=1, and the graph is neither concave up nor concave down.

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
Sketch the graph of a function f(x) that satisfies all of the conditions listed below. Be...
Sketch the graph of a function f(x) that satisfies all of the conditions listed below. Be sure to clearly label the axes. f(x) is continuous and differentiable on its entire domain, which is (−5,∞) limx→-5^+ f(x)=∞ limx→∞f(x)=0limx→∞f(x)=0 f(−2)=−4,f′(−2)=0f(−2)=−4,f′(−2)=0 f′′(x)>0f″(x)>0 for −5<x<1−5<x<1 f′′(x)<0f″(x)<0 for x>1x>1
In each part below, sketch a graph of a function whose domain is [0, 4] that...
In each part below, sketch a graph of a function whose domain is [0, 4] that has the desired property. No justification is needed in any part. (a) f(x) has an absolute maximum and absolute minimum on [0, 4]. (b) g(x) has neither an absolute maximum nor an absolute minimum on [0, 4]. (c) h(x) has exactly two local minima and one local maximum on [0, 4]. (d) k(x) has one inflection point and no local extrema on [0, 4].
Sketch the graph of a function that is continuous on (−∞,∞) and satisfies the following sets...
Sketch the graph of a function that is continuous on (−∞,∞) and satisfies the following sets of conditions. f″(x) > 0 on (−∞,−2); f″(−2) = 0; f′(−1) = f′(1) = 0; f″(2) = 0; f′(3) = 0; f″(x) > 0 on ( 4, ∞)
Sketch a graph of a function that satisfies the following conditions. Then take a picture and...
Sketch a graph of a function that satisfies the following conditions. Then take a picture and upload your graph. f is continuous and even f(2) = -1 f'(x) = 2x if 0 < x < 2 f'(x) = -2/3 if 2 < x < 5 f'(x) = 0 if x > 5
Let f(x)=(x^2)/(x-2) Find the following a) Domain of f b) Intercepts (approximate to the nearest thousandth)...
Let f(x)=(x^2)/(x-2) Find the following a) Domain of f b) Intercepts (approximate to the nearest thousandth) c) Symmetry (Show testing for symmetry) d) asymptotes e) Intervals of increase/decrease (approximate the critical numbers to the nearest thousandth. Be sure to show the values tested) f) Local maxima and local minima g) Intervals of concavity and points of inflection (be sure to show all testing) h) summary for f(x)=(x^2)/(x-2) Domain X intercepts: Y intercept: symmetry: asymptote: increasing: decreasing: local max: local min:...
Suppose f is continuous on (−∞,∞), and the derivative satisfies: f' (x) < 0 on (−∞,...
Suppose f is continuous on (−∞,∞), and the derivative satisfies: f' (x) < 0 on (−∞, −2) ∪ (3,∞) and f' (x) > 0 on (−2, 3). What can you say about the local extrema of f?
Find the following and graph for f(x)=16x(x-1)^3 f '(x)= f ''(x)= C.V.= increasing: decreasing; Point of...
Find the following and graph for f(x)=16x(x-1)^3 f '(x)= f ''(x)= C.V.= increasing: decreasing; Point of inflection: Concave up and down: Domain Local max and min:
Analyze and plot the graph of f(x)= x^4/2 - 2x^3/3. for this, find; 1) domain of...
Analyze and plot the graph of f(x)= x^4/2 - 2x^3/3. for this, find; 1) domain of f: 2)Vertical asymptotes: 3) Horizontal asymptotes: 4) Intersection in y: 5) intersection in x: 6) Critical numbers 7) intervals where f is increasing: 8) Intervals where f is decreasing: 9) Relatives extremes Relatives minimums: Relatives maximums: 10) Inflection points: 11) Intervals where f is concave upwards: 12) intervals where f is concave down: 13) plot the graph of f on the plane:
Sketch a continuous graph that satisfies each set of conditions. d) f"(x)=1 when x>-2, f"(x)=-1 when...
Sketch a continuous graph that satisfies each set of conditions. d) f"(x)=1 when x>-2, f"(x)=-1 when x<-2, f(-2)=-4
7. (a) Sketch a graph of a function f(x) that satisfies all of the following conditions....
7. (a) Sketch a graph of a function f(x) that satisfies all of the following conditions. i. f(2) = 3 and f(1) = −1 ii. lim x→−4 f(x) = −∞ iii. limx→∞ f(x) = 1 iv. lim x→−∞ f(x) = −2 v. lim x→−1+ f(x) = ∞ vi. lim x→−1− f(x) = −∞ vii. f 0 (x) > 0 on (−4, −3.5) ∪ (−2.5, −1.5) ∪ (1, 2) ∪ (2, ∞) viii. f 0 (x) < 0 on (−∞, −4)...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT