Question

Which of the following statements is true for the function f(x) = x3+x2-3x-1? Select one: a....

Which of the following statements is true for the function f(x) = x3+x2-3x-1?

Select one:

a. The first-order, forward-looking method overestimates the value of the derivative at x = -1.0 because the function is convex at that location.

b. The first-order, forward-looking method underestimates the value of the derivative at x = -1.0 because the function is concave up at that location.

c. The first-order, forward-looking method overestimates the value of the derivative at x = -1.0 because the function is concave up at that location.

d. The first-order, forward-looking method underestimates the value of the derivative at x = -1.0 because the function is convex at that location.

NOTE: OPTION B IS INCORRECT.

NOTE: OPTION A IS INCORRECT

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

As -1 lies in above interval it is convex at that location.

As OPTION A IS INCORRECT Then

Answer is D

The first-order, forward-looking method underestimates the value of the derivative at x = -1.0 because the function is convex at that location.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Given the function g(x) = x3-3x + 1, use the first and second derivative tests to...
Given the function g(x) = x3-3x + 1, use the first and second derivative tests to (a) Find the intervals where g(x) is increasing and decreasing. (b) Find the points where the function reaches all realtive maxima and minima. (c) Determine the intervals for which g(x) is concave up and concave down. (d) Determine all points of inflection for g(x). (e) Graph g(x). Label your axes, extrema, and point(s) of inflection.
(i) Given the function f(x) = x3 − 3x + 2 (a) What are the critical...
(i) Given the function f(x) = x3 − 3x + 2 (a) What are the critical values of f? (b) Find relative maximum/minimum values (if any). (c) Find possible inflection points of f. (d) On which intervals is f concave up or down? (e) Sketch the graph of f. (ii) Find a horizontal and a vertical asymptote of f(x) = 6x . 8x+3
1) Determine whether x3 is O(g(x)) for the following: a. g(x) = x2 + x3 b....
1) Determine whether x3 is O(g(x)) for the following: a. g(x) = x2 + x3 b. g(x) = x2 + x4 c. g(x) = x3 / 2 2) Show that each of these pairs of functions are of the same order: a. 3x + 7, x b. 2x2 + x - 7, x2
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].
a) If g(x) = x3−6x2 −15x + 7, find the interval(s) on which g is increasing/decreasing,...
a) If g(x) = x3−6x2 −15x + 7, find the interval(s) on which g is increasing/decreasing, and identify the location(s) of any local max/mins. Make a sign chart for g' b)  Suppose f(x) =(x2 −3)/(x2 + 3) [Note that x2 + 3 > 0 for all x.] Using the fact that f''(x) = −36(x2 −1)/(x2 + 3)3 find the interval(s) on which f is concave up/concave down, and identify the location(s) of any inflection points. Make a sign chart for f''
1.) Suppose g(x) = x2− 3x. On the interval [0, 4], use calculus to identify x-coordinate...
1.) Suppose g(x) = x2− 3x. On the interval [0, 4], use calculus to identify x-coordinate of each local / global minimum / maximum value of g(x). 2.) For the function f(x) = x 4 − x 3 + 7... a.) Show that the critical points are at x = 0 and x = 3/4 (Plug these into the derivative, what you get should tell you that they are critical points). b.) Identify all intervals where f(x) is increasing c.)...
Let h(x)=(x2+2x-3)(x2+4x+4)-1 Select one: a. The function has a loc. max. at x=-3 and an inflection...
Let h(x)=(x2+2x-3)(x2+4x+4)-1 Select one: a. The function has a loc. max. at x=-3 and an inflection pt at x=-1 b. The function has a horizontal asymptote y=1 and a vertical asymptote x=-3. c. The function has a horizontal asymptote y=1 and a vertical asymptote x=-2. d. The function has an abs. min. at x=-1 and is concave up on (-∞, ∞). e. The function has an abs. min. at x=-1 and is concave down on (-∞, ∞)
Approximate the zero for f(x) = (x^3)+(4x^2)-3x-8 using newton's method Use x1 = -6 A)Find x2,x3,x4,x5,x6...
Approximate the zero for f(x) = (x^3)+(4x^2)-3x-8 using newton's method Use x1 = -6 A)Find x2,x3,x4,x5,x6 B)Based on the result, you estimate the zero for the function to be......? C)Explain why choosing x1 = -3 would have been a bad idea? D) Are there any other bad ideas that someone could have chosen for x1?
Given: f(x) = x^3-3x^2 -9x + 1 which (if any) of the following statements are true?...
Given: f(x) = x^3-3x^2 -9x + 1 which (if any) of the following statements are true? a)f(x) has one relative max point b) f(x) has one relative min point c) f(x) has one inflection point d) f(x) is increasing for all x > 0 e) f(x) is concave down at x = 2 f) f(x) crosses the vertical y axis twice g) The graph of f '' is a parabola
Consider the function f(x)=ln(x2 +4)[6+6+8=16 marks] Note: f'(x) = 2x divided by (x2 +4) f''(x )...
Consider the function f(x)=ln(x2 +4)[6+6+8=16 marks] Note: f'(x) = 2x divided by (x2 +4) f''(x ) = 2(4-x2) divided by (x2+4)2 (I was unable to put divide sign) a) On which intervals is increasing or decreasing? b) On which intervals is concave up or down? c) Sketch the graph of f(x) Label any intercepts, asymptotes, relative minima, relative maxima and inflection points.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT