In the graph below, you are shown the tangent line to the graph of f(x) = x² at the point (a, f(a)). Find a, f(a), and the slope of the parabola at the point (a, f (a)). **Remember that f(x) is the same as y, and f(a) is the value when you substitute a into the function. %3D Tangent Line Parabola y = -x - y = x² Slope at a = a = f(a) = %3D a

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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10. In the graph below, you are shown the tangent line to the graph of f(x) = x² at the point (a, f(a)).
Find a, f(a), and the slope of the parabola at the point (a, f(a)).
**Remember that f (x) is the same as y, and f(a) is the value when you substitute a into the function.
%3D
Tangent Line
Parabola
y = -x –
y =
= 2²
Slope at a =
a =
f(a) =
a
0.
Transcribed Image Text:10. In the graph below, you are shown the tangent line to the graph of f(x) = x² at the point (a, f(a)). Find a, f(a), and the slope of the parabola at the point (a, f(a)). **Remember that f (x) is the same as y, and f(a) is the value when you substitute a into the function. %3D Tangent Line Parabola y = -x – y = = 2² Slope at a = a = f(a) = a 0.
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