13. Sketch the graph of f (x) = }" Sx² + 1 if x < -1 if x > -1 and use it to evaluate lim_ ƒ (x) and X→-1- lim f(x) x→-1+

Q: For the function g whose graph is given, state the following. 10 a. lim_g(x) = x→∞ c._lim_g(x) =…

A: As we can see from the graph, So we can write,

Q: If lim f(x) = 7 and lim g(x) = -4, find the following. X-6 x →6 (a) (b) lim_ [f(x) + g(x)] X.6.....…

A:

Q: Use the limit definition of the derivative of the given function at the given value of x (if it…

A: Given functions are

Q: Create a function / equation that represents each of the following scenarios: i) A function where:…

A: Part 1 :Objective :Finding a function f(x) where

Q: 6. For the function h whose graph is given, state the value of each quantity, if it exists. If it…

A: a)  limx→-3-h(x)=its limits exists and value less than 4b)    limx→-3+h(x)=its limits exists and…

Q: Let       f(x)= 2x-2  if x0+  f(1+h)-f(1)/h Evaluate Lim h-->0-  f(1+h)-f(1)/h Is the function f…

A:

Q: -|x|, h(x)=20-x², 4x-1, A) lim h(x) = x-5+ B) lim_h(x) = X115 C) h(3) = x≤-5 -5 3

A:

Q: x + 3 2x+3 5. (a) Find f(a) for a = -2,-1,0, 1 if f(x) = x + 2 2 4-x for x 1 (b) Find lim f(x) and…

A: Given: For (a), f(-2)=2(-2)+3=-1f(-1)=DNEf(0)=0+2=2f(1)=2

Q: The graph below is the function f(x) 5+ 4 3 2+ 01 -5 -4 -3 -2 -1 4 -2 -0-3 -[-←x -1 -4- -5+ Find lim…

A: The graph of the function  is given below.To find the following.

Q: Limit as x approaches 2 of (x3-8)/(x-2)

A: Obtain the value of the limit as follows.

Q: 8) Prove that live f(x) = L iff lim_f(x) = lim f(x) = L x->a х+а

A:

Q: What is true about the graph of y = b(x) if lim_b(x) = lim_b(x) = 7, but b(11) # 7? x-11- x-11

A: