-3.x²2√√8-x³(a) Show that f'(x)=-for x < 2.The graph of y = f(x) is shown in Figure 9, along with the normal to the graph at x = -1.-4-26y2-Figure 9f(x)2+x4(b) (i) Show that the normal to the graph of y = f(x) at x = -1 has the equation 2.x-y = -5. (ii) State the x-intercept of the normal 2x-y = -5.

-3x² 2√√8-³ (a) Show that f'(x)=- for x < 2. The graph of y = f(x) is shown in Figure 9, along with the normal to the graph at x = -1. -4 -2 6 2+ Figure 9 2 4 (b) (i) Show that the normal to the graph of y = f(x) at x = -1 has the equation 2.x-y = -5.

-3x² 2√√8-³ (a) Show that f'(x)=- for x < 2. The graph of y = f(x) is shown in Figure 9, along with the normal to the graph at x = -1. -4 -2 6 2+ Figure 9 2 4 (b) (i) Show that the normal to the graph of y = f(x) at x = -1 has the equation 2.x-y = -5.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.5: Graphs Of Functions

Problem 59E

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Question

-3.x²
2√√8-x³
(a) Show that f'(x)=-
for x < 2.
The graph of y = f(x) is shown in Figure 9, along with the normal to the graph at x = -1.
-4
-2
6
y
2-
Figure 9
f(x)
2
+x
4
(b) (i) Show that the normal to the graph of y = f(x) at x = -1 has the equation 2.x-y = -5.

(ii) State the x-intercept of the normal 2x-y = -5.

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