If f(x)=x^3+1, then. a. the value of f at x=-1 is f(-∞)= b. the value of f at x=2 is f(-∞)= c.

Name: Problem 1, Chapter 2: College Algebra
Uploaded: 2020-08-21T20:26:29-08:00
Duration: 3 min 26 s
Channel: Ankit Gupta
Description: If f(x)=x^3+1, then. a. the value of f at x=-1 is f(-∞)= b. the value of f at x=2 is f(-∞)= c. the net change in the value of f between x=-1 and x=2 is f ( ) -f ( ) = .

step 1 In this question we have to find out a function fx for the given phillips. So function fx is giv

Question

If $f(x)=x^{3}+1,$ then. a. the value of $f$ at $x=-1$ is $f(-\infty)=$ ___ b. the value of $f$ at $x=2$ is $f(-\infty)=$ _ c. the net change in the value of $f$ between $x=-1$ and $x=2$ is $f$ ( ) $-f$ ( ) $=$ _____.

   If $f(x)=x^{3}+1,$ then.
a. the value of $f$ at $x=-1$ is $f(-\infty)=$ _____
b. the value of $f$ at $x=2$ is $f(-\infty)=$ _____
c. the net change in the value of $f$ between $x=-1$ and $x=2$ is $f$ ( ______ ) $-f$ ( ______ ) $=$ _______.

College Algebra

James Stewart,… 7th Edition

Chapter 2, Problem 1

Instant Answer

Solved by Expert Ankit Gupta

08/21/2020

Step 1

We need to find the value of this function at $x=-1$ and $x=2$. Show more…

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If $f(x)=x^{3}+1,$ then. a. the value of $f$ at $x=-1$ is $f(-\infty)=$ _____ b. the value of $f$ at $x=2$ is $f(-\infty)=$ _____ c. the net change in the value of $f$ between $x=-1$ and $x=2$ is $f$ ( ______ ) $-f$ ( ______ ) $=$ _______.

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Key Concepts

Polynomial Functions

Polynomial functions are algebraic expressions consisting of variables and coefficients, combined using additions, subtractions, and non-negative integer exponents. They are continuous and differentiable over all real numbers, which means they can be evaluated at any point without issues of undefined behavior.

Function Evaluation

Function evaluation involves substituting a specific value for the variable into the function and performing the arithmetic operations to obtain the output. This process is fundamental for understanding the behavior of a function at specific inputs and for solving various types of problems.

Net Change

Net change refers to the difference between the values of a function at two distinct points. It quantifies the overall change in the function's value over an interval and is calculated as the value at the endpoint minus the value at the starting point, providing a measure of the total change during that interval.

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