Part a) Use the graph of f(z) to find a number & that guarantees |f(z) - 51 < 0.5 whenever |z-3|< 6. f(x) 5.5 DI 5 4.5 8 Part b) Use the graph of f(x) to find a number & that guarantees f(x) - 4|< 0.3 whenever x - 2| < 6. f(x) 2.9 3 3.2 12

Q: 2 2 x >1 4 2x> 2 4 x+ 2 b) f(x) = . 16 52x>4 x² + b 6 2 x > 5 1)is the above function continues at…

A:

Q: 4. Select all the true statements about the end behavior of the function f(x) = -x*-5x .4 + 5x +3.…

A: Given :

Q: Find the domain of the composite function f-g. 1) f(x) · g(x) = x+91 45 X+5 A) (xx-5, x-10) C)…

A:

Q: e. lim f(x) x→ 1+ f. lim f(x) x→ 1

A: Given f( x ) = ( 2 - x )    if x &lt; -1          = 3                if -1 ≤ x ≤ 1          = -( x -…

Q: Determine the domain and range of 1.) f-¹(x) = x-1/2 2.) f-¹(x) = x-4

A:

Q: |x| 3 +x* 2) Without making use of a graph show that the function f (x) is even.

A: Hera function is given and we have to prove that given function is even

Q: What is the domain in interval notation of the function scrt(x-4)/scrt(x-6)

A: Solution:function :- x-4x-6∵we know that the value in the square root can not be…

Q: Find the domain of the function. 13) g(x)= 3x x2-1 A) (xlx = -1,1} C) {xlx>1) B) all real numbers D)…

A: To find the domain of given function

Q: Make a table of values that shows the function values of f(x)=x²-1 together with those of g(x)=3*…

A: f(x)=x2-1g(x)=3x

Q: If f(x)=3x-2 and -5<x<5, which of the following defines the range of f(x)? A) -17<f(x)<13 B) -…

A:

Q: Graph f(x) = x^3 −3x^2 −2x + 1  Find the following

A: We can use application of derivative in order to solve the given problem.

Q: true or false ? the domain f(k)=k/k^2-9 is the set of real numbers except for k=3

A: The given statement is" The domain of f(k)=kk2-9 is the set of all real numbers except k=3."

Q: F(x) = x 1 + 3x2 - — 16х — 20 y 100 50 X - 10 -5 -50! (a) From the graph, estimate where f"(x) > 0.…

A: a) f"(x)&gt;0 By looking at the graph we can conclude that it between the point (0 to -5). As the…

Q: _et f(x) = 2-x 3 (-(x-1)² if x1

A:

Q: The piecewise function f is defined below.  ?(?) = }       3? − 1   if  ? ≤ −2…

A:

Q: (part 1 of 3) x¹, x ≤0 f(x) = ={ x-9, x>0 aluate the function for x = 2.

A: a)  for x&gt;0  f(x)=x-9      for  x≤0, f(x)=x4

Q: 11. Find graph of f¯*(x) given the graph of f(x) -5- -5 10 -5 -10 5.

A: We need to find the graph of f-1(x) given the graph of f(x)