Determine the following end behaviors given the functions below. a. Given f(x) = -4x³ - 9x +31 b. Given f(x) = 20x² – x' %3D As x -00, f (x) → As x→ -00, f(x) → As x → +00, f(x) → As x +o, f(x) →

Q: Let f(x) = 5x² to f(6 + h). ƒ(6 + h) − ƒ(6) = 6x + 6. If f(6) = 150 and h = 5, determine the amount…

A: Given function:- fx=5x2-6x+6

Q: -4 3 2 -1 -4 -3 -2 -1 1 2 4 -1 -2 -3 --4 3.

A: To find f(2) using the given graph.

Q: What is the end behavior and removable discontinuity of the function y= x-4/3-2x ?

A:

Q: Evaluate the following: 1. f(-8)= 2. f(-1)= 3. f(3) = f(x) = x² + 2x x + 8 if x -1.

A: Given: f(x)=x2+2x  if x≤-1x+8      if x>-1

Q: Give the domain for t(x)= x+1/x2-3x-18

A: Given function is,

Q: If 10x³y* + e*Y = 5 defines y implicitly as a function of x, find y.

A: Using derivatives of implicit function.

Q: 01. Plot the function (x) = x" -3x° +10x" – x - 2 for -65x56 , Draw the function as a solid blue…

A: x=-6:0.01:6;f=@(x)(x^4-3*x^3+10*x^2-x-2);for i=1:length(x)…

Q: identify the asymtotes f(x) = -2x2+5x-4/x+3

A: Given:The function is

Q: Graph both functions on one set of axes. f(x) = 3" and g(x) = 7" y 6 -1.5 -1.0 -0.5 0.5 1.0 1.5 -1.5…

A:

Q: Differentiate the following functions: 1) f(x) = 5 2) f (x) = -2x 3) f (x) = -2x + 2 4)f (x) = –2a²…

A: f(x) = 5 =>f'(x) = 0

Q: Find an expression for the function f(x) whose graph is a line passing through the points (4, 5) and…

A: Find the slope of the line. Start with the slope formula.

Q: Give the domain of the following functions: 1. f(x)= 3x-5 X 2. g(x)= x-25 3. с(x)- x-2

A: Please refer the attached image for complete solution.

Q: Differentiate the given algebraic function 1. y = 2x3 – 7x +1 - -1 2. y = x 2 2. y = x2- 4x 3. y =…

A: Solution: 1. y=2x3-7x+1

Q: Graph both functions on one set of axes. f(x) = (2)* and g(x) = 1.5x ↓↓ 4 g -4 2 -2 y 6 2 y 6 4 2 f…

A:

Q: Draw y² = f(x) 1+ (1,-1) 2 (2.5,1)

A: We have draw the graph of y2=f(x)The procedure is given below

Q: a. Find the derivative. p Find the derivive b. Find equation of the tangent line at the point (2,…

A: Given:- y = (2x+1)/(x-1)  To find:- a. Find the derivative.   b. Find equation of the tangent line…

Q: Find the domain of the following functions: 6. a. f(x)=3x*-7x +x-3 7x b. g(x)= х-4 %3D 7x h(x)3D…

A: The given functions are –