For the function as defined that is one to one, graph f and f-1 on the same axis please: f(x) = x^3 +4 Thank you!

Q: Determine where the graph of the function F(x) =x²-15x downward. Also, find all inflection points of…

A: We need to determine where the graph of the function f(x)=x3-15x is concave upward and where it is…

Q: Express the function graphed on the axes below as a piecewise function.

A: The graph is,

Q: determine from its graph if the function is one-to one.

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Q: Graph the piece-wise defined function. for x -1

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Q: What is the end behaviour for the function f(x)=-3logx

A: The given function is f(x)=-3log x

Q: Explain why the graph of a nonzero function is never symmetric with respect to the x-axis.

A: To be symmetric about the x-axis. We must have points of the form (x,-y) when (x,y) is on the…

Q: List the x-values in the graph at which the function is not differentiable. 3 -2 - 1 1 3,

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Q: (0, 3) 2 1- (2.0)

A:

Q: Determine where the graph of the function f(x) = 2x3 - 6x is concave up and where it is concave down

A: Known fact: The graph of the function fx is concave up on I if f''x>0 for all x in I. The graph…

Q: Try to draw a vertical line on the graph so it intersects the graph in more than one place. If you…

A: Given graph :

Q: Given: f(x) = 10-X Find and simplity (fof)

A: We have to find the composite function.

Q: Graph the piecewise-defined function. f(x) =    2x    if   x < 0 −2x    if   x ≥ 0

A:

Q: Find the slope of the graph for the function f(x) = 3sinx + 11 at the point (7,11)

A: The function is f(x)=3 sin(x)+11

Q: For the following graph of f(x), identify where f(x) is not differentiable and why. 16 8- -1 -8 -16

A: f(x) is not continuous at x=1 and f(x) is not differentiable at x=1

Q: Identify the function whose graph appears above. f(x) 3D %3D

A: The given graph appears to be tangent function.

Q: Determine where the graph of the function f (x) = x³ – 6x² is concave upward and concave downward.

A:

Q: sketch the graphof the function.f(x)=3^{-x^{2}}

A: we have to sketch the graph of f(x)=3^{-x^{2}}

Q: Consider the piecewise function if x 2 x² - 4

A: The function is said to be continuous at x=a If, limx→a-f(x)=limx→a+f(x)=f(a) The given function is…

Q: If f"(2) = 0 then explain how the graph of f might NOT have a point of inflection at x = 2. %3D

A: to find the inflection point we take f''(x)=0, but not for all values of x  when the graph of f''(x)…

Q: Find the intervals on which f(x) = x(x + 3)(x – 1) is positive by plotting a graph. (Enter your…

A: Given - A function To Find - Interval for f(x)>0

Q: Sketch the graph of the function. 4+x if x < -2 f(x) = {x2 %3D if -2 sx < 2 6- x if x 2 2

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Q: Find the points on the graph of the function that are closest to the given point. f(x) = x2 - 9, (0,…

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Q: I need to graph the function f(x+1) given the graph of f(x)=x^2

A: As we replace 'x' with 'x+1' in f(x). The given graph of f(x) will shift towards left i.e towards…

Q: Find the domain of the following function: h(x)=√(2x-3)(x+4) Be sure to write your answer in…

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Q: sketch the graphof the function.y = 2−x2

A: Graph of the function can be drawn with the help of the points that lie on the curve. Substitution…

Q: Graph the piecewise-defined function. f(x) =    −4x     if  x &lt; 0 4x2     if  x ≥ 0

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Q: Find the points on the graph of the function that are closest to the given point. f(x) = x2 -9,…

A: The function f(x) is given by :                    f(x)=x2-9; at (0, 2)     To determine:…

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

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Q: I need to graph this piece wise function, I already did it but I wanna check my work with someone…

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Q: sketch the graph of the function f(x, y) = sqrt(4-4x^2-y^2)

A: Given function is, f(x,y) = 4-4x2-y2

Q: 6. For the function in vertex form, f(x) = 2(x+ 3)² – 5, change to the equivalent standard form by…

A: in multiple question we are allowed to answer only first one .

Q: Find the domain and the range and sketch the graphof the function F(x)=[. X+9 - 2x if x 3

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Q: 5 4 3 1 -5 -4 -3 -2 1 3 4 -1 -2 -3 -4 -5

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Q: Find the points on the graph of the function that are closest to the given point. f(x) = x2 - 9, (0,…

A: I use second derivative test to find out where distance is minimum

Q: Is there a function whose graph is symmetric with respect tothe x-axis? Explain.

A: If a graph is symmetric with respect to x-axis for a point (x,y) lying on graph if and only if…

Q: Find all points of intersection between the graphs of the functions. 5 =x+y 7 =x +y

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Q: Find the slope of the graph of the function at the given value. f(x) = 4x+ 8. when x = 5 %3D

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Q: Sketch a graph of the piecewise defined function.

A: Solution:Givenf(x)=0if x≤23if x&gt;2To sketch the graph of the given function

Q: f(x) X+T

A:

Q: Find the points of inflection and discuss the concavity of the graph of the function. f(x) = x√(9 −…

A: The function is given as x9−x In order to find the inflection point and concavity, second derivative…

Q: how does the graph shift from f(x)=2x to f(x)=2x+3

A: Given function are fx=2x and fx=2x+3 We have to find number of the graph shift from fx=2x to fx=2x+3…

Q: 2(メy)=16-x-, R: %3D and y=4X- 2

A:

Q: Find the points on the graph of the function that are closest to the given point. f(x) - х2 - 2, (0,…

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Q: Proble Diego wrote f(x) = (x + 2)(x – 4) as an example of a function whose graph has x-intercepts at…

A: Here x intercept comest at x=4,-2.

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x², (0,8)…

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Q: What are the horizontal asymptote and y-intercept for the graph of this function f(x)=2-x+7 ?

A: Given function

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.