F(x)= 3x/1+x3  G(x)=3x2/1+x3 a. Graph each funtion b. When is f(x)>0 C. when is G(x)>0 will F(x) ever be equal to G(x). If so, for what values of x

Q: Draw a graph of the function and use it to determine the asymptotes and the local maximum and…

A: Given: y = 2x2-ln x

Q: 8 The graph of function y=f(x) has a horizontal asymptote of y = 5. (5 Puan) f (x) 5- 3e-4x false…

A: This is true. I have drawn a graph using desmos graphing calculator, where you can see as values of…

Q: The graph of y = 5(x) is obtained by a/an stretch of the graph of y = f(x) by multiplying each of…

A: Given graph is y=f(x).

Q: Suppose the point (0, b) is on the graph of f(x) = -x +1, then the value of b is

A: We have to find value of b.

Q: Use the graph of f(x) = 2x to obtain the graph of g(x) = 2x - 3.

A: Given

Q: 3. graph the ratlonai functiong f(x) = 7x+3_

A:

Q: Graph g(x) and –g() -9() from g(x)? on the same axes for the x-interval x E [0, 5]. How did you get

A: we have to get the graph -g((5-x)/2) from g(x)

Q: P2- Graph the fellowing functions. 4ー× xS f cx) 2 2 a- X + 2X メ>! Xく。 gcx) = b-

A:

Q: Find the vertical and horizontal asymptotes for the graph o f(x). -4x+9x 1(x)= x-5x+6

A: Given function is f(x)=-4x+9x2x2-5x+6 For vertical asymptotes, denominator must be zero. It means…

Q: The graph of y = 5f(x) is obtained by a/an _______stretch of the graph of y = f(x) by multiplying…

A:

Q: Graph the function

A: The graph of the function f(x)=1-x is shown on the board:Some of the point aref(x)=1-xyx=-3,…

Q: Find the vertical asymptotes of the graph of the function x² +4x f (x) = x - 2x – 24 · None x=6 O…

A: Given function isf(x)=x2+4xx2-2x-24To find the vertical asymptote (s) of a rational functionsimply…

Q: -3x – 5 is obtained from the graph of f (x) = |x| + 1.b) Describe how the graph of g (x) = -|x| Зх +…

A:

Q: - xS-1 5) Graph f(x) = 1+x x >-1

A:

Q: Find the equation for the horizontal asymptote of the graph of the function. (If an answer does not…

A:

Q: Find the equation for the horizontal asymptote of the graph of the function. (If an answer does not…

A:

Q: If f(x) = 0.5* and g(x) = 0.3* then the graph of f(x) will be the graph of g(x) when x > 0. %3D

A: f(x)=0.5^x g(x)=0.3^x x>0 graph of f(x) will be above the graph of g(x)

Q: The equation of the asymptote for ​g(x)equals2^x-6

A: We have

Q: The graph of f(x) = x2 – 7 is horizontally stretched by a factor of 4.5. Write the equation…

A: Here the graph of f(x)=x²-7 is horizontally stretched by a factor of 4.5.  We want to write the…

Q: Find the equation for the horizontal asymptote of the graph of the function. (If an answer does not…

A: We have to find the horizontal asymptote

Q: 19. Determine the end behavior of the graph of f(x) = 3x4 + 2x - 5

A:

Q: 10-Draw the graph of y=-2 (x-2)²+3 based on the power function f(x)=x' also determine the domain and…

A:

Q: Two key points on the graph of g(x)=8^x are (1, _) and (0,_)

A: Given the function  g(x) = 8x we need to find it's two key points with given information. Now let (1…

Q: V: Sketch the graph at: a) Jex)= X3 6) fex X x2-1 3/ x4.

A: a) fx=x3x-22b) fx=xx2-1c) fx=x2-123-x43

Q: How can the graph of f(x) = -4|x| be obtained from the graph of y= Ixl?

A:

Q: 1. Sketch the graph of f(x) = -x²(2x + 5)*(x – 3)4.

A: Given f(x)=-x2 (2x+5)3 (x-3)4

Q: V4x² – 9 Find the end-behavior asymptote(s) in the graph of f(x) • X +5

A: fx=4x2-9x+5 Here leading coefficient in the numerator is 4=±2 & leading coefficient in the…

Q: 7. Use the graph of f(x) → 3x² to obtain the graph of h(x) =x² .2

A:

Q: Find the horizontal asymptote of the graph of the function. (If an answer does not exist, enter…

A: Given, The function  fx=x3-3x2+4x+1x2-4x+3 We have to find the horizontal asymptote of the graph of…

Q: graph... f(x)=|x+3|+2. show atleast 5 points for the graph.

A:

Q: Graph f(x) = -3cos(-nx) – 1 by Key Points method.

A:

Q: The equations of the vertical asymptotes to the graph of f (x) 4 has x2

A:

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

A: we have to find

Q: Find the equation for the horizontal asymptote of the graph of the function. (If an answer does not…

A:

Q: Suppose the graph of f (x) = x1/3is vertically stretched by a factor of 3 and then shifted down…

A: Given information: The function is f(x)=x13is vertically stretched by a factor of 3 and then shifted…

Q: Use the given graph of function f to solve: Write the equation of the horizontal asymptote, or the…

A: The given graph of the function is:

Q: Find the vertical asymptote.

A: Given:

Q: a. Graph y = x4 + 6x2on [-10, 10] by [ -10, 50] .b. Is it possible for the graph of this function to…

A: Lets graph the equation using graphing calculator Set the x axis from x=-10 to 10 Set the y axis…

Q: 17) Graph f(x) = |2x – 5| Label the x-intercept and at least one other point on your graph.

A:

Q: Use the guidelines of the section to make a complete graph of ƒ.

A: The given function is f(x) = 1e-x-1

Q: If g(x) = x2 – 4, where does the graph of the g(x) cross the x-axis? Make a sketch of the graph.

A: Given g(x)=x2-4We know that x2 graph is a prabola

Q: Find the horizontal asymptote of the graph of the function. (If an answer does not exist, enter…

A:

Q: Suppose (12,4) is a point on the graph of y=f(x). What is a point that will be on the graph of…

A: Given that f(12) = 4  We will use this fact to find the answer as shown below

Q: equation for the horizontal asymptote of the graph of the function. (If an answer does not exist,…

A:

Q: The graph

A: We have given that the graph of  f(x) has x-intercept  when x=-1 with multiplicity 3 and a degree is…

Q: Use a graph to estimate all the vertical and horizontal asymptotes of the curve. (Round your answers…

A: Asymptote is the point  which a graph approaches to ,but never touches

Q: Find the asymptotes of the functionf(x)=x(x−1)2.

A:

Q: Graph f(x)=-5(2)^x+2 and its reflection about its horizontal asymptote.

A:

Q: Is the graph of g(x)=4x^3+9x^2+7x+3 concave up or down at the point with x-coordinate −2?

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.