Chapter 2.1, Problem 2E

### Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Chapter
Section

### Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

# In Exercises 1–6, (a) state the values of a, b, and c in the given quadratic function f ( x ) = a x 2 + b x + c ; (b) supply the missing values in the table below; (c) calculate f ( a + h ) ; and (d) give a valid technology formula for f ( x ) . (Optional: Use technology to check the values in the table.) [HINT: See Quick Examples 1–3.] x –3 –2 –1 0 1 2 3 f ( x ) f ( x ) = − 2 x 2 + x + 2

(a)

To determine

The values of a,b

and c for the function f(x)=2x2+x+2.

Explanation

Given Information:

The provided function is:

f(x)=ā2x2+x+2

f(x)=ā2x2+x+2

The quadratic equation or function is one of the simplest functions having curved graph rather than a straight line. It best describes the relationship between the two quantities. A quadratic function for any function x is expressed in function form as well as in equation form as shown below:

Function form: f(x)=ax2+bx+c

Equation form: y=ax2+bx+c

Where a,b

and c

are the numbers with fixed value with aā 0

(b)

To determine

To calculate: The missing values in the following table,

 x f(x) −3 −2 −1 0 1 2 3

for the following function,

f(x)=2x2+x+2

(c)

To determine

To calculate: The value of f(a+h)

for the function f(x)=2x2+x+2.

(d)

To determine

A valid technology formula for the function f(x)=2x2+x+2.

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