Is the function, whose graph is drawn in Fig. 7. continuous at the following values of x? Figure 7 1.x=0 4. x .001 2. x=-3 5. x=-2 3. x-3 6. x-2 8. x=-3 11. x=-2 Is the function, whose graph is drawn in Fig. 7. differentiable at the following values of x? 7. x 0. 10. x .001 5 9. x-3 12. x-2 Determine whether each of the following functions is continuous and/or differentiable at x 1.1

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
Problem 28PPS
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EXERCISES 1.5
Is the function, whose graph is drawn in Fig. 7. continuous at the
following values of x?
-5-4
Figure 7
1. x 0
4. x = .001
[x+2
3.x=31
6. x-2
Is the function, whose graph is drawn in Fig. 7. differentiable at the
following values of x?
7.x=0
10. x .001
15. f(x)= 13x
17. f(x)={
2. x=-3
5. x = -2
Determine whether each of the following functions is continuous
and/or differentiable at x 1.
13. f(x)=x²
14. f(x) -
for0sx<1
fx
16. f(x)= x for 1sxs2
(2x-1
19. f(x)=x-1
0
x-1
8. x=-3
11. x = -2
20. f(x)=1
(2x-2
for-1sxsl
for 1<x=5
[x for x
1
18. f(x)= 12 for x 1
for 0≤x≤!
for 1<x
1 2
4
for x 1
for x = 1
for 0x<1
for x-1
for x>1
9. x-3
12. x 2
Transcribed Image Text:EXERCISES 1.5 Is the function, whose graph is drawn in Fig. 7. continuous at the following values of x? -5-4 Figure 7 1. x 0 4. x = .001 [x+2 3.x=31 6. x-2 Is the function, whose graph is drawn in Fig. 7. differentiable at the following values of x? 7.x=0 10. x .001 15. f(x)= 13x 17. f(x)={ 2. x=-3 5. x = -2 Determine whether each of the following functions is continuous and/or differentiable at x 1. 13. f(x)=x² 14. f(x) - for0sx<1 fx 16. f(x)= x for 1sxs2 (2x-1 19. f(x)=x-1 0 x-1 8. x=-3 11. x = -2 20. f(x)=1 (2x-2 for-1sxsl for 1<x=5 [x for x 1 18. f(x)= 12 for x 1 for 0≤x≤! for 1<x 1 2 4 for x 1 for x = 1 for 0x<1 for x-1 for x>1 9. x-3 12. x 2
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