Analyze and sketch the graph of f(x) = x√(x2 + 2) .

Q: Describe how you could use the graph of f(x) = 2x to obtain a decimal approximation for √2.

A:

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

A:

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

A: To sketch the graph of the given function.

Q: Find the points of inflection and discuss the concavity of the graph of the function.

A: Given, f(x)=6-xx

Q: Sketch the graph of fif 3x + 4 f(x) : 2x – 5

A: Given; fx=3x+42x-5 The graph of the given function is,

Q: What is the natural domain of the function f (x) = /5 – x?

A:

Q: Sketch the graph of f (x) = (x - 2)4 - 1.

A: Given equation: fx=x-24-1

Q: The absolute Extrema of the function f(x) = /-x²+ 8x - 15 on its domain are

A: Given,f(x)=-x2+8x-15

Q: Determine the image of the function 12x + 27 f(x) x² – 4x + 5 for all x E R. Solve the problem…

A: Given fx=x2-12x+27x2-4x+5

Q: Sketch the graph of the function given. (a) f(x) = 4x - x2     (b) g(x) = |4x - x2 |

A: Given: f(x)=4x-x2 g(x)=|4x-x2|

Q: Sketch the graph of f.

A: To sketch the graph of the given function:…

Q: Sketch the graph of f.

A: f(x)=8-x32x2

Q: 8. Use the graph of f(x) = 2x2 – 5V2x + 3 to sketch the graph of f (x) – 3. %3D

A: We need to plot: f(x)-3 with the help of f(x) = 2x2-52x+3 This is a transformation of f(x) and…

Q: Sketch the graph of f (x) = 1/6x3 - 3/2x2 + 5x + 1.

A: To Sketch the graph of function f(x)=16x3-32x2+5x+1

Q: for what value of x does the function g(x)=1/3x3-2x2 attain the point of inflexion?

A:

Q: 2. What is the degree of the function g(x)=-2x(2x-1)(x² + 1)²?

A: The given function is; g(x)=-2x(2x-1)(x2+1)2.

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

A:

Q: Using only this information, sketch the graph. f (x) = 1/9x3 - x2

A: Sketch the graph.     Fx=19x3-x2

Q: 1) Sketch the graph of f (x) = 3x3 – 9x² and determine all its significant features.

A:

Q: Find the domain and sketch the graph of the function.   f(x) = x2 - 2x + 1

A: Let us consider the given function. Since, the functionis a polynomial, so the domain is all real…

Q: For Exercise, determine the vertical asymptotes of the graph of the function. x + 4 f(x) = 2r + x –…

A: Given function

Q: B/Find the oblique asymptote of the function f(x) -3x²+2 x-1

A: To find The slant asymptote of f(x)

Q: Sketch the graph of f(x)=x² /x²-1

A: Graph

Q: Find the domain and sketch the graph of the function. f(x) =2t+t2

A: Given: fx=2x+x2 we know that given function is a quadratic function whose constant term is zero we…

Q: 19

A:

Q: Analyze and sketch the graph of f(x) = 2x5/3 − 5x4/3.

A:

Q: how does the graph shoft from f(x)=2x to f(x)=2x+4

A:

Q: How does the graph of f(x) = (x + 7)3 − 8 compare to the parent function g(x) = x3?

A: Givenf(x)=(x+1)3-8 g(x)=x3here,g(x) is the parent function and f(x) is its transformed function

Q: Sketch the graph of f.

A: Sketching Graphs have a horizontal x-axis and vertical y-axis, and the point…

Q: Sketch the graph of the function f(x) = 3x 4 + 4x 3 .

A:

Q: Sketch the graph of f.

A: Solution:Givenf(x)=x2-x-6x+1To sketch the graph of the given function.

Q: What is the multiplicity of the zero at x=-2 of the function represented by the graph?

A: Given,           The function represented by the graph is shown below :           To find : What is…

Q: 6. Sketch the graph of f(x) = (x – 3)(x + 2) (x + 5) using the %3D zeros and end behaviours.

A: Solution is here

Q: Simplify f(x). x2 + x - 20 f(x) x + 5 f(x) = x – 4 х — for x +-2 Sketch the graph of f.

A:

Q: To find g(x + 1), what do you substitute for x in the function g(x) = 8x − 2?

A: To find g (x + 1).

Q: Sketch the graph of f.

A: f(x)=4x-12x+3y=4x-12x+3to obtain  coordinates put x=0y=4x-12x+3y=4(0)-12(0)+3y=-13put…

Q: Draw the graph of f(x)=2-|x|, and use it to find the 2 value of |(2- a1) da. -2 Write your answer as…

A:

Q: Use the graph of f(x) = 2x² – 5v2x + 3 to sketch the graph of f (x) – 3.

A: It is given that the function fx=2x2-52x+3. We have to use the graph of the function fx to sketch…

Q: Sketch the graph of f.

A: The given function is fx=x-11-x2. Sketch the graph of the above function as shown below.

Q: Sketch the graph of the function f(x): = 2x-3 x²-4

A: The function is  f(x)=2x-3x2-4

Q: Find x-intercept(s) of the graph of function g(x)=/3x+7-1.

A: gx=3x+7-1

Q: Analyze and sketch the graph of f(x) = (x2 − 2x + 4)/(x − 2)

A:

Q: Find the points of inflection and discuss the concavity of the graph of the function. f(x) = x3 −…

A: Consider the following function: fx=x3-9x2+24x-18 Differentiate fx with respect to x:…

Q: 3. At what point will the graph of f(x) = 2x – 5 and its inverse intersect?

A: 3. The given function is f(x)=2x-5 Note:   Multiple questions are given, we are answered with only…

Q: Sketch the graph of f.

A: given,

Q: Sketch the graph of f(x) = xª – 2.x² + 7 using graphing strategy (analyze f, f' and f").

A: Consider the graph of f(x).

Q: Sketch the graph of f.

A: Given, f(x)=3-x2

Q: Find the equation of the vertical aymptote of the function: f(x)= (x2 -3x-10) / (x2-11x+30)

A:

Q: Determine the image of the function x2 – 12x + 27 - f(x) = x² – 4x + 5 for all æ E R. Solve the…

A:

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

A: The given function is fx=x24-x2. Note that the value of function approaches to larger and larger as…

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.