(c) Determine the values of x for which the function f(x)= %3D 2x2 - 4 x<2 x + 2 2 5 7 x>5 is discontinuous.

Q: The critical point for the function f(x)= v5 - 3x? is a. None of these O b.2 Oc No solution d.0

A: Consider the given function as fx=5-3x2

Q: The function f(x) = = a) 0 b) 1 Oc) 2 d) 3 (x² + 1) (x² + 2) has how many x-intercepts?

A: Given function:- fx=x2+1x2+2

Q: The horizontal asymptote of x + 5 f (x) = x2 is the line with equation O a y = 1 b y = 0 C X = 1 d.…

A: Given a function f(x)=x+5x2 To find the horizontal asymptote of f(x)

Q: Given the function g(x) = (x – 1)(z + 2)(z - 3) its g-intercept is its -intercepts are

A:

Q: 1. If f(x) = x-1 and g(x) = 2x, what is g(f(x))? c. 2x -1 %3D а. х-2 b. 2х-1 d. 2x-2

A:

Q: 4. Find the points of local maxima and minima for the function f(x) = x* – 18x2 – 9

A: To Determine: Find the points of local maxima and minima for the function…

Q: Which is true for the f (x)= (2x-4x)e A. f(x)=e* B. f(x)=e*-1 C. f(x)=e D. f(x)=e

A:

Q: 2) Find the fixed point of the functions : A. f(x) = x² + 5x + 3 B. f(x) = x³ – 4x² + 6x – 2 C. f(x)…

A:

Q: Find the domain and range of (a) f(x) = 2+ Vxr-1 (b) f(x) = (x + 1)/(x – 1)

A: See the attachment

Q: 5. State the equation of f(x) if D = {xER\x - and the y-intercept is (0, ;) 2x+1 x+1 f(x) : f(x) а.…

A: Equation of the function

Q: Find the domain of the function. 29) f (x) = v25 – x2 30) f (x) = 3x + 4 31) h(x) 32) h(t) = |t + 1|…

A:

Q: (c) Discuss the maxima and minima of f (x,y) = x + y3 – 3x – 12y + 20.

A:

Q: Find the critical points of the function f(K)-7x2-14x.

A:

Q: The cost, in dollars, of producing x units of a certain item is given by C(x)=20x-4√x-3. Find the…

A: If you like the solution then please give it a thumbs up....   The Answer is:    Production level =…

Q: 3.) Give the coordinates of any points of inflection. f(x) = x³ + x² – x +1

A:

Q: If f(x)=1/5x^5 - 3/4x^4 - 4/3x^3 +60, then what is the set of c value for which f has a relative…

A:

Q: Find the relative extrema. x2 f(x) = 16- — х2

A: Given: f(x)=x216−x2 Function achieves relative maximum or relative minimum (relative extrema) at…

Q: What is the equation for g, which is f(x) = 2x2 + 3x - 1 reflected across the y-axis? A. g(x) = 2x2…

A:

Q: The function f(x) =x³ – 3x2 + 3x -1, x e R has a point of inflection | at A) x = 1 B) x =-1 C) x = 3…

A:

Q: 1. Solve for the values of x in the function below. f(x)=x3-4x-0.5x2+2

A:

Q: Find f(x) by solving the initial value problem. f'(x)=3x2+4x-3; f(2)=4

A:

Q: The function f(x) = 12 – 6x* has an absolute maximum value of 0 and this occurs at æ equals

A:

Q: Find the local extrema of the function f(x) =r³ – 3r² – 9x.

A: Given that: f(x)=x3-3x2-9x

Q: For what value of X does the function f(x) = x³ – 9x² – 120x+6 have a relative minimum? A 10 В) 4 3

A: f(x)=x3-9x2-120x+6

Q: For what value of X does the function f(x) = x³ - 9x² – 120x+6 have a relative minimum? А) 10 В) 4 D…

A:

Q: (a) f(x) = 2r3(3 – 4x)

A:

Q: 1. Find the domain of the functions. A) f(x) = 3x+1 15x-1|-4 B) f(x) = x2-7x+12 x+ 5

A: To find the domain of the following functions.A fx=3x+15x-1-4B fx=x2-7x+12x+5

Q: Find the positive critical point of the function f (x) %3D x4 + 7 x =

A:

Q: The critical points of the function f(x) = 4x³ – 48x +1 are a. 2,– 2} b. d.

A:

Q: Find the range of f(x)=x-5x+6. O [-1/4, 0)

A: The given function is:fx=x2-5x+6To find the range

Q: For what value of X does the function f(x) = x³ – 9x² – 120x+6 have a relative minimum? (A) 10 (в) 4

A: solution is given below .

Q: f (x) = 3.x5 5x3.

A:

Q: B- Find the extreme points of the function F-X, + (X+1)²+ (X+1)? Find the objective function to the…

A: Let us consider a function f(x,y) then the extreme point is obtained as  Find the value of…

Q: x²-x-6 f (x) = x3+2x2-x-2 Hole: VA: НА: SA: x-intercepts: y-intercept:

A: Here, the given function is: f(x)=x2-x-6x3+2x2-x-2=(x-3)(x+2)(x2-1)(x+2)=x-3x2-1 So, the numerator…

Q: 3- Show that the function y = x³ + 3x + 3 satisfy the y= + xy= - 2y = 0

A:

Q: Let p=(12-2x)^2 for 0≤x≤3 be the price at which x hundred units of a certain commodity will be sold,…

A: Given: P=(12-2x)2         for 0≤x≤3            Revenue   R(x)=xP(x) then    R(x)=x12-2x2…

Q: The critical points of the function f(z) = 9x² - 8x + 16 are

A:

Q: 7. Find f'(x) for the function f (x) = V-3x4 – 2

A:

Q: The degree of f(x) is v and the leading coefficient is There are real zeros and relative extreme…

A: To Determine :-  Degree of fx Leading coefficient  Number of real zeroes Number of relative extreme…

Q: find the maximum revenue for the function R(x)=356-0.9x^2

A:

Q: Find the local extrema of the functionf(x)=x2+x−2x−2.

A:

Q: The fixed-points of f(x) = (x² + 2) a and

A:

Q: For what value of x does the function f(x) = x³ – 2x² + x -11 have a relative maximum? -1/3 1/3 -1

A: Using application of derivatives.

Q: For what value of x does  function g(x)= (-1/3)x^2+2x^2 convex?

A: please see the next step for solution

Q: For what value of x does the function f(x) = x³ - 2x2 + x – 11 have a relative maximum? A 1/3 B 1 ©…

A:

Q: B4: a) Find and classify all critical points of the function f(x) = x³ + 3x² – 12x + 5

A: In the question we have to find critical points.

Q: 3x2 f(x)3D f'(x) (x+2)? ' 12x f"x) = – 24(x-1) (x+2)3" .Find x- and y- intercepts of the graph of f.…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3.Please resubmit the question and…

Q: Find f by solving the initial-value problem. f'(x) = 9x2 + 2x – 4; f(2) = 2 - f(x) %3D

A:

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.