(0.5x +2x for - 0.5

Q: -(x+6)2 + 4 for x 2 VI

A:

Q: :-3 ifx 2 -3 2-1

A: The given piecewise function is,t(x)=-12x-3if x<2-1if x≥2

Q: 2x+1 if x < 2 x²-1 if x ≥ 2 Let_ƒ(x) = Determine the value of ƒ (2). 3 5

A:

Q: 50. Is the function given by f(x) = 3x - 2 continuous at x = 5? Why or why not?

A: Given: fx=3x-2 Concept Used: Linear function is continuous everywhere.

Q: f(x) = x* + x³ – 2x² For the above function state all intervals of x where f(x) is decreasing.

A: We know that if f'x&gt;0 at a specific value of x, then the function f(x) is decreasing at those…

Q: Find where the function is increasing. 2 y = x² - 3lnx, (x > 0)

A:

Q: 10 16.⁰ FIX Find f(x) dx if = 8 x for x < 8 for x ≥ 8

A:

Q: (a) Given Ax-6, x6. (i) Calculate the value of A. (4 marks) (ii) Examine whether the function is…

A: Continuity

Q: For what value of k will the function f be continuous on (-∞, ∞)? f(x) = = +2 9 x + 3 k if x # -3 if…

A:

Q: Q1: - Find C that make the function f(x) continuous f(x) = {| x +3 Сх+ 6 x 2

A:

Q: F(x)=6-2x, 1<x<5

A:

Q: Is the function below continuous at x = -5? f(x)=x3−2x2+5x+1

A: We are to simplify

Q: f(x) = = 3x – 5 1 -2 for for for Find f(−1) x < 1 x = 1 1 < x < 5

A: Given function

Q: Consider the function f(t) = = -X 3-x (x − 3)² - if x 3

A:

Q: 2x+l f lx) =

A: f(x)=2x+1x

Q: Is the function below, continuous as x tends to 5? f(x) = (2x - 6 (x² – 3x 2 - x < 5 x ≥ 5

A: We can solve this as follows:

Q: 2x : 1 3 is not one to one True False

A: Given: The function f(x)=2x : 1≤x≤3x   :  x&gt;3

Q: For what value of k will the function f be continuous on (-∞, ∞)? x² 2 f(x) = = x + 3 k if x # -3 if…

A:

Q: If f(t) = (1 + 0.04)t, what is f(0)?

A: note that (any number)0 =1

Q: Find the rate Of Chaange the folloewing in Table de. X 1-2)-1 TO fex) F3 -1 3.

A: Given that table values, x -2 -1 0 1 f(x) -3 -1 1 3 Use the formula of the rate of change,…