In Exercises 1-16: 9. f(x) = -4x a) Graph the function. b) Draw tangent lines to the graph at points whose TA 11. f(x) = x² + x 10. f(x) = x 12. f(x) = x² - x x-coordinates are -2, 0, and 1. 13. f(x) = 2x² + 3x - 2 Find f'(x) by determining lim f(x + h) - f(x) h→0 h 14 f(x)=5x²-2x+7 d) Find f'(-2), f'(0), and f'(1). How do these slopes compare with those of the lines you drew 15. f(x) = 1 in part (b)? 1. f(x) = 5x² 3. f(x) = -5x2 2. f(x) = 7x² 4. f(x) = -7x2 16. f(x)= 5. f(x) = x³ 6. f(x) = -x³ 7. f(x) = 2x + 3 8. f(x) = -2x+5 X 5 =― x 17. Find f'(x) for f(x) = mx. 18. Find f'(x) for f(x) = ax² + bx + c. + AR 27

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 28E
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C, #14

In Exercises 1-16:
9. f(x) = -4x
a) Graph the function.
b) Draw tangent lines to the graph at points whose
TA
11. f(x) = x² + x
10. f(x) = x
12. f(x) = x² - x
x-coordinates are -2, 0, and 1.
13. f(x) = 2x² + 3x - 2
Find f'(x) by determining lim
f(x + h) - f(x)
h→0
h
14 f(x)=5x²-2x+7
d) Find f'(-2), f'(0), and f'(1). How do these
slopes compare with those of the lines
you
drew
15. f(x) = 1
in part (b)?
1. f(x) = 5x²
3. f(x) = -5x2
2. f(x) = 7x²
4. f(x) = -7x2
16. f(x)=
5. f(x) = x³
6. f(x) = -x³
7. f(x) = 2x + 3
8. f(x) = -2x+5
X
5
=―
x
17. Find f'(x) for f(x) = mx.
18. Find f'(x) for f(x) = ax² + bx + c.
+
AR
27
Transcribed Image Text:In Exercises 1-16: 9. f(x) = -4x a) Graph the function. b) Draw tangent lines to the graph at points whose TA 11. f(x) = x² + x 10. f(x) = x 12. f(x) = x² - x x-coordinates are -2, 0, and 1. 13. f(x) = 2x² + 3x - 2 Find f'(x) by determining lim f(x + h) - f(x) h→0 h 14 f(x)=5x²-2x+7 d) Find f'(-2), f'(0), and f'(1). How do these slopes compare with those of the lines you drew 15. f(x) = 1 in part (b)? 1. f(x) = 5x² 3. f(x) = -5x2 2. f(x) = 7x² 4. f(x) = -7x2 16. f(x)= 5. f(x) = x³ 6. f(x) = -x³ 7. f(x) = 2x + 3 8. f(x) = -2x+5 X 5 =― x 17. Find f'(x) for f(x) = mx. 18. Find f'(x) for f(x) = ax² + bx + c. + AR 27
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