Question: f(x) = { 0, -1 1 or x

f(x) = { 0, -1

1 , x = 1

2, x = -1

+infinity , x >1 or x <-1 }

Is this function a convex function on real numbers? Why?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

A - accelerates D- negative acceleration e The velocity of a bug moving along the y-axis is given by the equation: v (t ) = x2f(x) 8 -6 A table of selected values for f and f' is below. wing X 2 5 f...

Q:

Please written by computer source Consider the problem u 00 = f, x (0, 1), u0 (0) = u(1) = 0, where f = const. Introduce the mesh with h1 = h2 = h3 = h4 = 1/4 and apply the finite element method...

Q:

A function is defined by the values in the table below X f x 0 1 1 2 2 5 3 10 4 17 5 26 6 37 7 50 a Determine the value of f 3 b Solve the equation f x 37 c Is the graph of the function increasing...

Q:

(1 point) The limit lim exp(h) - 1 h +0 h represents f' (a) for some function f and some number a. Find f(I) and a. f (x) = 0 =[1 point} The tangent line t0 the graph {if y = z] at the point {4, 215]...

Q:

13. For the function y=x* -18x +32, a) find the CRITICAL POINTS, expressing them as ordered pairs 12] b) determine the increasing and decreasing intervals 13] c) classify one of the critical points...

Q:

Let X1, X2, ... Xn be a random sample drawn from a distribution with probability density function f (x; 0) = (1 + x)0+1, 0 0 is an unknown parameter. (a) Show that Y, = In(1 + X;) follows a Gamma (a,...

Q:

Use the graph below to fill in the missing values. 4 fix) 4 f(0) = f(x) = 0 . = f -1(0) = f '(x) = 0 1=

Q:

Answer the question below: Find the Fourier series of f (x) f (x ) = 0 - 1 Find the Fourier series of f (x) 0 1 7TSX

Q:

Find the domain of the function f x 0 1 3 O 1 1 3 O 1 3 I 3

Q:

Calculus home work help Name: College ID: Thomas Edison State University Calculus I (MAT-231) Section no.: Semester and year: Written Assignment 2 Answer all assigned exercises, and show all work....

Q:

Which of the following is a description of the cyber threat known as phishing? A. Sending bogus emails and texts that request a user's security information B. Hiding a user's files then demanding...

Q:

6. Consider the following set of vectors: v = (1,1,1,1), vz = (1,0,1,0), vz = (0,1,2,0), v = (2,2,4,1) and vg = (2,0,0, a). %3D %3D a) For what value(s) of a is v5 in the span (v, V2, V3, V4} ? b)...

Q:

Cash Budget Cash Budget Cash Budget Cash Budget Chapter 1 6 Application Questions Question 7 Fartaly correct Mark 3 . 0 7 out of 5 . 3 4 flateutition Cash Budget & Short - Term Financing Presented...

Q:

Please help it's urgent thank you. please write 400-450 words. thank you QUESTION 4 (20 MARKS) The success of any project is dependent on a diverse range of skills, abilities and competencies of the...

Q:

Values: What is important to me?

Q:

Purpose: What do we seek to achieve with our behaviour?

Q:

An action plan is prepared.