(a) f(x) = x² – 5 (c) h(x) = 5x %3D (b) g(x) = x³ – 1 (d) F(x) = |x|

Q: Find the value k that makes the function continuous. (ka?, x > -2 f (x) kx + 18, x < -2

A:

Q: Determine the smallest value of the constant a for which the graph of the function f(x) = a^x−x is…

A: Since f(x) should always be greater than x axis ⇒f(x)&gt;0ax-x&gt;0ax&gt;xTake log both…

Q: B- Find the local extreme points of the function f(x, y) = 4xy - x - y^.

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Q: Find k such that the line is tangent to the graph of the function.…

A:

Q: nd the points where the function f(x) = (x² – 1)³ is decreasing, -

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Q: Find a point c satisfying the MVT for the given function and interval. 2 y = x3 [0,8]

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Q: The graph of the continuous function g, the derivative of the function f, is shown above. The…

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Q: Sx + 1, if { x20} L-2x + 2, if { x < 0} 6)Graph f(x) =

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Q: Find the value of constant K that makes the function below continuous at x = 2. -2x X < 2 X-2 f(x)…

A: Given,           fx=x2-2xx-2 ; x&lt;2kx-3 ; x≥2

Q: Suppose a company wants to introduce a new machine that will produce a rate of annual savings (in…

A:

Q: B. Find and classify the extreme points of function f(x, y) x* +y-4xy-1.

A: Maxima minima of two variables function

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

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Q: x1

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Q: Find k such that the line is tangent to the graph of the function.

A:

Q: If n is positive and even, where is the graph of f(x) = xn increasing and where is it decreasing?

A: For f(x)= xn  where n is positive and even. for these type of function the general graph is given…

Q: Suppose a company wants to introduce a new machine that will produce a rate of annual savings​ (in…

A: Given that

Q: Find k such that the line is tangent to the graph of the function.…

A: To Determine: Find k such that the line is tangent to the graph of the function.…

Q: Find k such that the line is tangent to the graph of the function  Function: f(x)=k square root x…

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Q: Use the graph of the function f to find approximations of the given values. y 4-

A: To find the values of f at x= a,  we imagine the vertical line x=a and where the vertical line…

Q: A company has found that its expenditure rate per day (in hundreds of dollars) on a certain type of…

A: Given,           A company has found that its expenditure rate per day in hundreds of dollars on a…

Q: Find the point on the graph of the function that is closest to the given point. f(x) = /x, (3, 0)…

A: Given, y = f(x) = x Let's assume the closest point to (3,0) will be (x, y) then (x,y) = (x, x)…

Q: 5. Find all relative maxima of the given function. y =x* -8x' +16x² +3

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Q: Find the local maxima and local minimum value of function f(x) =xx

A: We use first derivative test to find local maximum and minimum

Q: Each gives the first derivative of a functiony = ƒ(x). (a) At what points, if any, does the graph of…

A: Given first derivative is y'=x26-4x. (a) Obtain the critical points. y'=0x26-4x=0x2=0,6-4x=0x=0,0,32

Q: . Sketch the graph of the unit step function, denoted by U and defined by U (x) = {0 1 if if x<0 0sx

A: Ux =0x&lt;01x≥0 So this step function is equal to 0 when time t is negative and is equal to 1 when…

Q: Find the global extrema of the function f(x)=e−x2.

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Q: Find the points on the graph of the function f that are closest to the point (a, b) by minimizing…

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Q: Find the extreme values of the function f(x; y) = x2 + y2 + xy on the curve x2 + 2y2 = 1.

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Q: 5. Create a graph of the function: t -1 %3D x+2 Ay

A: Given:         Equation is y=-1x+2below graph is plotted using online tool

Q: does y=e9-x2-2 exist? whaet is the domain and range of the function if exists

A: Consider  y=e9−x2−2

Q: Each gives the first derivative of a functiony = ƒ(x). (a) At what points, if any, does the graph of…

A: given that y'=4x2-x4and y=f(x)

Q: f(x) = is the range in which the function is decreasing.

A: fx=exx Differentiating with respect to x, we get f'x=dexdx·x-dxdx·exx2…

Q: Find the x-coordinate of the absolute maximum and absolute minimum for the function 9. f(x) = 10x +…

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Q: Find k such that the line is tangent to the graph of the function. Function= f(x) = k square root x…

A: Find k such that the line is tangent to the graph of the function. Function= f(x) = k square root…

Q: The interval in which the given function is decreasing is at y = x3 – x2 – 5x – 4

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Q: On the axis below, sketch the graph of a function, f, which has a critical point at r = 1 4. (.. but…

A: Solved below

Q: function. (If an answer does not exist, enter DNE.) g(x) = 3x4 − 6x3 + 1 smaller x-value (x, y)

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Q: Use the graph of y = f(x) to graph the function g(x) = 2f(x- 1) + 1. y- f(x) AY

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Q: B. Find and classify the extreme points of function f(x, y) = x + y - 4xy-1.

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Q: Find the distance between the local maximum and the local minimum values of the function f(x) =x -…

A: n order to find maxima and minima of a function , we have to follow the two stepsStep 1:  Find the…

Q: The interval in which the given function is decreasing is at 3 points y = x3 – x2 – 5x - 4 (-00, -1)…

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Q: Find the value of constant K that makes the function below continuous at x = 4. x2 - 4x X< 4 f(x) =…

A:

Q: Find the local extreme values of the function y = x + x- & + 5

A: Given function f(x) = x3+x2 - 8x + 5 f'(x) = 3x2+2x-8 f"(x) = 6x + 2 By Second derivative Test,…

Q: 1. Determine the critical points (maxima, minima, and point of inflection) of the function y = x(12-…

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Q: 2. f(x) = 6x - 1 slope: of f = of g y-intercept: of f= of g=

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Q: Use the graph of f(x) = ex to obtain the graph of g(x) = eX. %3D %D

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Q: Determine the value of t that maximizes the area above the x-axis and below the graph of the…

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Q: The population of the United States can be modeled by the function p(x) = 80.21e131x where x is the…

A: We have to graph P(x) and predict population in given years.   According to our guidelines we can…

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.