Question

Evaluate each polynomial function at the given value.If $P(x)=-3 x+4$, determine a) $P(0)$ b) $P\left(\frac{4}{3}\right)$ c) $P(-2)$

Name: Problem 30, Chapter 5: Intermediate Algebra for College Students
Uploaded: 2020-04-19T03:57:54-08:00
Duration: 32 s
Channel: Julie Silva
Description: Evaluate each polynomial function at the given value.If P(x)=-3 x+4, determine a) P(0) b) P((4)/(3)) c) P(-2)

   Evaluate each polynomial function at the given value.If $P(x)=-3 x+4$, determine
a) $P(0)$
b) $P\left(\frac{4}{3}\right)$
c) $P(-2)$

Intermediate Algebra for College Students

Allen R. Angel;… 10th Edition

Chapter 5, Problem 30

Instant Answer

Solved by Expert Julie Silva

04/19/2020

Step 1

To find P(0), we substitute x = 0 into the polynomial function P(x) = -3x + 4: P(0) = -3(0) + 4 = 0 + 4 = 4 b) Show more…

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Evaluate each polynomial function at the given value.If $P(x)=-3 x+4$, determine a) $P(0)$ b) $P\left(\frac{4}{3}\right)$ c) $P(-2)$

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Key Concepts

Substitution

Substitution is a key algebraic method where a variable in an expression is replaced with a specified number or another expression. This procedure simplifies the evaluation of functions, enabling the computation of specific outputs based on given inputs.

Polynomial Function

A polynomial function is a type of mathematical function that involves sums of powers of a variable multiplied by coefficients. These functions are defined for all real numbers and their structure allows for systematic analysis and evaluation through algebraic operations.

Function Evaluation

Function evaluation is the process of finding the output of a function for a given input by substituting the input value into the function's expression. This technique is fundamental in understanding how functions behave and in verifying their properties.

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