Given the function f(x) = 6+ 6x², calculate the following values: f(a) f(a + h) f(a + h) – f(a) h

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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**Question 3**

Given the function \( f(x) = 6 + 6x^2 \), calculate the following values:

\[ f(a) = \]  
\[ f(a + h) = \]  
\[ \frac{f(a + h) - f(a)}{h} = \]

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This exercise involves evaluating the given quadratic function and calculating its incremental changes, which are foundational concepts in calculus.
Transcribed Image Text:**Question 3** Given the function \( f(x) = 6 + 6x^2 \), calculate the following values: \[ f(a) = \] \[ f(a + h) = \] \[ \frac{f(a + h) - f(a)}{h} = \] [Add Work Button] [Next Question Button] This exercise involves evaluating the given quadratic function and calculating its incremental changes, which are foundational concepts in calculus.
Expert Solution
Step 1

The function is given by

fx = 6+6x2

To evaluate: The expression of fa+h-fah

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