Explain if the function is continuous or not for the given number a. if x > 1 f(x) = {1 if x = 1 ,a=1 2x - if x < 1

Q: x+5 4. f(x) = %3D x2-5x+4

A:

Q: Find the value of the constant k that makes the function continuous.

A: Given: h(x)=3x2+2x-8x+2 if x≠-23x+k            if x=-2

Q: Determine the values of x for which f(x) is discontinuous.

A: For x&lt;=3, f(x)=3x-12 is continuous

Q: 6x if x 2

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: f(x) x² - 2x - 8 { *2-22-3 x-4 x = 4 x‡4

A:

Q: x² – 49 .2 if x + -7 f(x) : x +7 -12 if x = -7

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Q: Determine where the following function is continuous. х-5 M(x) = 4x2 - 9

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Q: Where does the original function f(x) increases and decreased

A: f'(x) = +ve→f(x) will be increasing in this range.f'(x) = -ve→f(x) will be decreasing in this…

Q: -6 Ay 15- -15-

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Q: f(x) = x+1 x-3

A: Given:  fx=x+1x-3To prove: f(x) is 1-1 we know that, If f(x1) = f(x2) then x1 = x2 therefore f(x) is…

Q: Give some examples of functions that are not continuous and state the values of x for which they are…

A: Few examples are given witch is not continuous.

Q: A function has a zero at X = 8, indicating what?

A: Given, A function has a zero at X=8

Q: t(x) =             1                        64 + x^2

A: Domain : -∞, ∞

Q: Graph the function Ax) = 4x-1, if x <-1 Determine if the function is continuous x-3, if x2-1…

A: The given function is  f(x) = 4x-1x-3if x&lt;-1ifx≥-1 A function is said to be continuous at a point…

Q: Va3 – 1 (o) f(x) = ;c= 1 x-1

A: The given function is not defined at x=c= 1 Because , as x approaches to x the function approaches…

Q: Determine if the function is continuous. x4-1/x2-1

A: Given:     To determine: the function is continuous or not.

Q: Identify three cases for a function NOT to be differentiable at a. Explain why each case fails the…

A: