The graph depicts the graph of g (x). The function is discontinuous at x

Q: Find the vertical asymptotes (if any) of the graph of the function f(x) = csc x

A:

Q: Draw the graph of f(x) and discuss its differentiability at x = 1

A: It is given that fx=x2x≤1xx>1. Recall the fact that formula for derivative of a function f at a…

Q: Sketch the graph of the function y=f(x)=1-x with domain [-1, 1] and range [0, 1]. Find the domain…

A: What is Domain and Range of a Function: For a function depending upon a single independent variable,…

Q: Sketch the graph of a function f with a single horizontal asymptote y = 3.

A: The horizontal asymptote of the function is y=3. Since the horizontal asymptote is y=3, therefore…

Q: Sketch the graph of the function.

A: Sketch the graph of the function. g(x)=x-1

Q: Find the open intervals on which the function is increasing or decreasing          g(x) = (x + 1)3

A: We first find g'(x)

Q: Find all vertical and horizontal asymptotes of the graph of the function.f(x) = 4x2/(x + 2)

A: A function is a relation which maps each element in its domain to exactly one value in its range. A…

Q: Sketch the graph of the function. (Restrict your graph of the function to the domain [0,5).) gx) = 5…

A: We need to plot the graph of the given function.    gx=x   ,    x∈[0,5)

Q: Sketch the graph of f(x) = x e²-ª. Indicate any asymptotes, intercepts, local extremes, and…

A:

Q: Use a graphing utility to graph the function and identify any horizontal asymptote.

A: To plot the graph of f(x)=3xx2+2, use the Desmos graphing calculator.

Q: Show that the graph of the function h is symmetric about the origin, given that h(x) = (1 + x2)/(x…

A:

Q: Use a graphing utility to graph the function and identify any horizontal asymptote.

A: Graphing utility helps to find the solution to any problem and graph it. Keys in the Graphing…

Q: Find the value of k that makes the following function continuous. Graph the function. x2- k, if x…

A:

Q: The graph of f(x) is shown below:

A: The given graph represent the function f(x).

Q: 1. Find x- and y- intercepts of the graph of f, if it has any.

A: Note: As you have posted the multiple numbers of questions, so we are going to solve the 1st…

Q: The graph of f (x)  is shown below.  What is the apparent zeroes of the function graphed here?

A: Given:     Zeroes of Graph:         Wherever the function graphs line cuts the x-axis are called…

Q: Identify the horizontal and vertical asymptotes of the function f(x) by calculating the appropriate…

A: We have given  function  fx=x2-4x2 Here, we can see the denominator will be  zero for x=0 And…

Q: Sketch the graph of a function f that has both y = -1 and y = 5 as horizontal asymptotes.

A:

Q: Consider the graph of the function h(x)=2x-1 over x+2. Write down the equation of the vertical…

A: Given function,  h(x) = (2x - 1)/(x + 2)  To find the vertical asymptotes.

Q: Find the vertical asymptotes (if any) of the graph of the function f(x) = 1/x2

A: Given       f(x)=1x2

Q: Find the natural domain and graph the functions

A:

Q: Consider the graph of f' (x). At what value (or values) of x do f (x) have a local maximum?

A:

Q: Sketch a graph of f(x) = – 1||

A: Given function is                                              f(x)=-|x|=-x; x≥0x   ; x≤0

Q: If the graph of f(x) is given by 1 Then the graph of is

A: Gien a graph of some function f(x), the graph of the reciprocal function i.e. 1f(x) can be obtained…

Q: If the graph of f(x) is given by Then the graph of f(-x)+2 is

A: F(x) is given

Q: Draw the graph of the function in a suitable viewing rectangle, and use it to find the domain, the…

A: y=ln xx

Q: Sketch the graph of f(x) by hand and use your sketch to find the absolute and local maximum and…

A: Graph of f(x) is as follows :

Q: Sketch the graph of the function. Label the intercept(s) and asymptote(s). x2 9) f(x) x2 - x - 12

A: on solving this we get

Q: . Here is a graph of f(x) = e² and a graph of g, which is for the function g.

A: Introduction: For a function f(x), When c is subtracted from x, then f(x-c)is known as horizontal…

Q: Find the vertical asymptotes (if any) of the graph of the function. f(x) = 3/x

A:

Q: Use this graph of g to find the solutions to g(x) = 3.

A: To find: the solution of the g(x)=3 from graph.

Q: Find all vertical and horizontal asymptotes of the function g(x) = (x − 3)/(x2-9)

A: Given, gx=x-3x2-9

Q: x3 - 3x2 + 3x + 1 (x) x2 - 3x + 3

A: we have to find

Q: Find the function f(x) Ca whose graph is given.

A: 1) The points through which the graph passes are  (x,y)=2,532 and (x,y)=0,10. Since the graph passes…

Q: Sketch the graph of the function. State the domain, range, and asymptote. g(x) = 2 In x

A: Given: The function y=2lnx, To determine: Domain, range and asymptote of the function using graph of…

Q: sketch the graph of the function = 2-4cos x

A:

Q: Sketch the graph and all asymptotes of the function x² – x +1 y = x – 1

A: The asymptote of a function is a line on which the function is approaching but not touches. The…

Q: Determine the value(s) of x at which the graph of

A: Given,               f(x)=2x-1x2

Q: The graph below is of a function g(x) with domain (-∞0, 0). 1 1

A:

Q: The graph of f(x) is given below. Graph f'(x) on the same coordinate plane

A: According to the given graph , x-axis cuts at three points . First is origin (0,0) Let second point…

Q: Show that the graph of the function h is symmetric about the origin, given that h(x) = (1 + x2)/(x…

A:

Q: Write a function f(x) so that the graph has a vertical asymptote at x=-3 and horizontal asymptote at…

A: let the function is fx=pxqx

Q: Use the graph of y=g(x) to graph the given function. ygl)

A: Given graph:

Q: Draw a graph of f(x) by first placing the horizontal and vertical asymptotes, then 2x + 4 plotting…

A: Given: fx=2x+162x+4

Q: Find the asymptotes of the function f(x)=x3 / x2+1.

A: Since the degree of numerator (3) is greater than the degree of denominator (2), therefore there is…

Q: : Sketch the graph of f(x) = -xel/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.