forgot to ask about question 10 on my test review

Question

Answer 1

The piecewise function is .

(a).

x ---> 5- means that x approaches 5 from values less than 5, so the function f(x) = 6x - 5.

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(b).

x ---> 5+ means that x approaches 5 from values greater than 5, so the function f(x) = x².

.

 

(c).

x ---> 7- means that x approaches 7 from values less than 7, so the function f(x) = x².

.

 

(d).

x ---> 7+ means that x approaches 7 from values greater than 7, so the function f(x) = 5x+14.

.

 

(e).

x ---> 9- means that x approaches 9 from values less than 9, so the function f(x) = 5x+14.

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(f).

x ---> 9+ means that x approaches 9 from values greater than 9, so the function f(x) = 70.

 

(g).

Since the function f(x) is discontinuity at x = 9.

Discontinuities are two types. (1) removable discontinuity and (2) non removable discontinuity.