Sketch the graph of a functionf having the following characteristics
f(2) f(4) 0
f(x)0 if x > 3
f(3) is defined
f'(x)0 if x < 3
"(x)0, if 3
f'(3) does not exist
Transcribed Image Text

Sketch the graph of a functionf having the following characteristics f(2) f(4) 0 f(x)0 if x > 3 f(3) is defined f'(x)0 if x < 3 "(x)0, if 3 f'(3) does not exist

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in


Related Calculus Q&A

Find answers to questions asked by students like you.

Q: identify the absolute maximum and minimum values of the function on the given interval (when they ex...

A: Firstly, we find derivative of given function

Q: Determine if the series below converges or diverges. If it converges, determine what to do.

A: To discuss the convergence (or divergence) of the given series

Q: The world's output of primary energy (petroleum, natural gas, coal, hydroelectricity, and nuclear el...

A: It is increasing at the rate of 2.4% annually. So 0.024 every year.growth rate= (1+0.024)=1.024 per ...

Q: How do you solve this?

A: To find the roots of the given polynomial equation

Q: Optimization: You and your classmates have decided to enter an ice sculpting contest. Before you beg...

A: Given an ice block with the following conditions,

Q: Find the intervals on which is increasing or decreasing. Find the local maximum and minimum values...

A: Refer to the question , we have been provided with the function , f(x) = cos2x-2sinx, 0&lt;=x&lt;=2p...

Q: Find the centroid of the region bounded by the following curves: y = (1/2)x and y = sqrt x

A: Given equations of the curve: 

Q: I think this question (included in the image) is looking for a derivative of sorts

A: Please see the white board for the formulation.

Q: see attachment

A: For a function of the form y=A sin(B(x+C))+D, amplitude is A, period is 2pi/B,phase shift is C.So we...

Q: Find the volume of the solid whose base is an isosceles triangle (with base 6 meters and sides 5 met...

A: Given a solid whose base is an isosceles triangle (with base 6 meters and sides 5 meters) and whose ...

Q: Between 2000 and 2010, the Phillips curve for the U.S. unemployment rate u and the Consumer Price In...

A: Differentiate I with respect to u 

Q: Differentiate the function T(z) = 2z log2 z.

A: The given function is,

Q: The velocity​ (in feet/second) of a projectile t seconds after it is launched from a height of 10 fe...

A: To estimate the height using numerical integration

Q: 1. Consider the function p(x) = C/1- x2 defined on [-1, 1] (a) Find a value C such that p(x) is a pr...

A: (a) The value of C is evaluated as follows.

Q: Q 7. Is cos x| differentiable in (-oo, oo). If so find its derivative. If not, is it differentiable ...

A:  Let us begin with plotting the graph for |cos x|.

Q: 3.3 Can you show me the steps to solve the problem? Directions: (a) Find the intervals of increase o...

A: to determine the function increasing.

Q: find the absolute extrema for f(x) = x^2/3 (2-x) on [-1,2]    please show all work

A: To calculate the critical  extreme values for the given function over the given interval

Q: Sketh OF the fnCH #23 Sketdh the graphof te fungian Foxiy=Y 1/4

A: The given function is

Q: This is a 2 part question, kind of.... Part 1: Find the derivative.f (t) = 3t sin2 t Part 2: Is ther...

A: Given function is:Applying the derivative with respect to t and using the chain rule i.e. (uv)' = u'...

Q: I need help with question 15 in Section 3.11, page 264, of the James Stewart Calculus Eighth Edition...

A: Using the identity

Q: how to solve problem in photo attached

A: Substitute x = t2 in the given integral and so the limit varies pi/2 to pi.

Q: Use an Addition or Subtraction Formula to simplify the equation. sin(3θ) cos(θ) − cos(3θ) sin(θ) = 0...

A: Given expression;

Q: Can you please answer question 59 and show the steps

A: The given function is

Q: Solve. (4^x)^2-2(4^x)-1=0

A: Click to see the answer

Q: please answer the questions provided in the image for the function:    f(x) = 1 + (1/x) - (1/x^2)

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: Evaluate the integral. ∫1/x2+25 dx

A: Consider the given integral:

Q: find the critical points:

A: Given function is  and the interval isThe critical points of a function are obtained when the first ...

Q: Recall the arithmetic mean of two positive numbers a and b. Show that the value of c in the conclusi...

A: Consider the two positive number a and b and the function

Q: Problem 1 Parts 1, 2, and 3

A: To determine:Part 1) Approximate value of f(3.01) using linear approximation.Part 2) The actual valu...

Q: Question 24 Which expression is equivalent to log, 8"? Select the correct answer below: log, 8 m. H ...

A: Simplifying the expression we get 

Q: 1 on the interval [1,4], verify that f(x) satisfies the hypotheses of the Mean Value Theorem on For ...

A: To verify the hypotheses of the mean value theorem and find all numbers c that satisfy the conclusio...

Q: step by step please. was told this was using the compound interest formula

A: To calculate the value of the account after the given time period at the given rate of interest we u...

Q: Use a quick approximation to estimate the derivative of the given function at the indicated point. f...

A: Considering f(x) = 9 – 5x. To find the approximate derivative of f(x) at x = 2.

Q: see attachment

A: Graph the solution to the system of inequalities.

Q: If the instantaneous rate of change of g(x) at (−1, −3) is 1/2, write the equation of the line tange...

A: Slope of tangent line is ½. So the equation is of the form: 

Q: Can you help me step by step?

A: Check:

Q: Questions 19

A: Given:

Q: Differentiate the function g(x) = ln(xe-2x).

A: Given function is,

Q: Can you help with this problem step by step?

A: Given,

Q: A cylindrical drill with radius 2 is used to bore a hole through the center of a sphere of radius 6....

A: This can be solved with Cylindrical Shells.With radius = x, from 2 to 5.And height = 2y , where y= s...

Q: Find parametric equations for the tangent line to the curve with the given parametric equations at t...

A: Click to see the answer