To graph: The function f ( x ) = { x 2 − 3 , x ≤ 0 2 x + 3 , x > 0 and describe the interval(s) on which the function is continuous and if the function f ( x ) = { x 2 − 3 , x ≤ 0 2 x + 3 , x > 0 has any discontinuity determine whether they are removable.

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Answer 1

Question

Chapter 1.6, Problem 46E

To determine

To graph: The function f(x)={x2−3, x≤02x+3, x>0 and describe the interval(s) on which the function is continuous and if the function f(x)={x2−3, x≤02x+3, x>0 has any discontinuity determine whether they are removable.

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Suppose f and g are the piecewise-defined functions defined here. For each combination of functions in Exercises 51–56, (a) find its values at x = -1, x = 0, x = 1, x = 2, and x = 3, (b) sketch its graph, and (c) write the combination as a piecewise-defined function. f(x) = { (2x + 1, ifx 0 g(x) = { -x, if x 2 8(4): 51. (f+g)(x) 52. 3f(x) 53. (gof)(x) 56. g(3x) 54. f(x) – 1 55. f(x – 1)

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Answer 2

Question

Chapter 1.6, Problem 46E

To determine

To graph: The function f(x)={x2−3, x≤02x+3, x>0 and describe the interval(s) on which the function is continuous and if the function f(x)={x2−3, x≤02x+3, x>0 has any discontinuity determine whether they are removable.

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Answer 3

Question

Chapter 1.6, Problem 46E

To determine

To graph: The function f(x)={x2−3, x≤02x+3, x>0 and describe the interval(s) on which the function is continuous and if the function f(x)={x2−3, x≤02x+3, x>0 has any discontinuity determine whether they are removable.

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Answer 4

Question

Chapter 1.6, Problem 46E

To determine

To graph: The function f(x)={x2−3, x≤02x+3, x>0 and describe the interval(s) on which the function is continuous and if the function f(x)={x2−3, x≤02x+3, x>0 has any discontinuity determine whether they are removable.

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Answer 5

Chapter 1.6, Problem 46E

To determine

To graph: The function f(x)={x2−3, x≤02x+3, x>0 and describe the interval(s) on which the function is continuous and if the function f(x)={x2−3, x≤02x+3, x>0 has any discontinuity determine whether they are removable.

Answer 6

Chapter 1.6, Problem 46E

To determine

To graph: The function f(x)={x2−3, x≤02x+3, x>0 and describe the interval(s) on which the function is continuous and if the function f(x)={x2−3, x≤02x+3, x>0 has any discontinuity determine whether they are removable.

Answer 7

Chapter 1.6, Problem 46E

To determine

To graph: The function f(x)={x2−3, x≤02x+3, x>0 and describe the interval(s) on which the function is continuous and if the function f(x)={x2−3, x≤02x+3, x>0 has any discontinuity determine whether they are removable.

Answer 8

Expert Solution & Answer

Answer 9

Expert Solution & Answer

Answer 10

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To graph: The function f ( x ) = { x 2 − 3 , x ≤ 0 2 x + 3 , x > 0 and describe the interval(s) on which the function is continuous and if the function f ( x ) = { x 2 − 3 , x ≤ 0 2 x + 3 , x > 0 has any discontinuity determine whether they are removable.

Solution Summary: The author describes the function f(x)=l

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To graph: The function f(x)={x2−3, x≤02x+3, x>0 and describe the interval(s) on which the function is continuous and if the function f(x)={x2−3, x≤02x+3, x>0 has any discontinuity determine whether they are removable.

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To graph: The function f ( x ) = { x 2 − 3 , x ≤ 0 2 x + 3 , x &gt; 0 and describe the interval(s) on which the function is continuous and if the function f ( x ) = { x 2 − 3 , x ≤ 0 2 x + 3 , x &gt; 0 has any discontinuity determine whether they are removable.

Solution Summary: The author describes the function f(x)=l

Concept explainers

Videos

To graph: The function f(x)={x2−3, x≤02x+3, x>0 and describe the interval(s) on which the function is continuous and if the function f(x)={x2−3, x≤02x+3, x>0 has any discontinuity determine whether they are removable.

Want to see the full answer?

To graph: The function f ( x ) = { x 2 − 3 , x ≤ 0 2 x + 3 , x > 0 and describe the interval(s) on which the function is continuous and if the function f ( x ) = { x 2 − 3 , x ≤ 0 2 x + 3 , x > 0 has any discontinuity determine whether they are removable.