Find the Intercepts, symmetry ap the function and also sketch n²+ 21 + S Find the Inverse function of U-12 13 21+15 3

Q: 8x The function f(x)= is one-to-one. x+5 (a) Find its inverse and check your answer. (b) Find the…

A: f(x)=8xx+5 y=8xx+5 Writing x in terms of y y(x+5)=8x yx+5y=8x 8x-yx=5y x(8-y)=5y x=5y(8-y) replacing…

Q: 5. Here is the graph of y= f( x). (a) Sketch the graph of its inverse on the same grid. (b) Is the…

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Q: 19. g(x) = x³ – 6x² + 9x + 1

A: Please see the explanation below

Q: The function in the figure below has f(4) 21 and f' (4) = 1.8. Find the coordinates of the points A,…

A: Given that: f(4)=21, f'(4)=1.8

Q: 14) Advertising: A clothing designer's sales S depend on x, the amount spent on television…

A: S(X,Y)= 60X2+90Y2-6XY+200 SX(X,Y)=d(60X2+90Y2-6XY+200)/dx                =120X-6Y SX(3,2)=120*3-6*2…

Q: QI\ find domain and rang of this function 2x y = x3-4x

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: Graph the function. f(x) = /x-1 Plot four points on the graph of the function: the leftm 10 -12. E0.…

A: Given: y = x-1

Q: An antenna has 4 guy-wires connected to the top of the antenna, and each guy-wire is anchored to the…

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Q: Express the function h(x) = (x+ 1) g(x). Your answer is g(x)= Preview Box 1: Enter your answer as an…

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Q: Write an algebraic expression for the function graphed below. Express you answer in factored form…

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Q: Write the function, y = |x| after the following transformations: 1) Reflect the function about the…

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Q: a) write the function in the form y = f(u) and u = g(x). Then find as a function of x -10 y = - 1 2

A: In the above we will apply chain rule.

Q: QI\ find domain and rang of this function: 1 y = : x2 - 2

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: A radical function of the form y = 5Vb(z +m) has a v intercept of 20. The value of b is and th…

A: The radical fraction is y=5b(x+m) ..................(1) The vertex is  (-2,0) and y-intercepts= 20

Q: Given the graph of a function, determine whether the inverse of the function is also a function. A)…

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Q: The function f(x) = k(3 – x – x³) is one-to-one and f-1(45) = -6. Find k. %3D k = Need Help? Read It…

A: We have given a function f which is one -to-one.  And f(-6) =45. We have to find the value of k

Q: 7. 7.

A: Let rt=2ti-t5-t2j. DIfferentiate rt with respect to t. ddtrt=ddt2ti-t5-t2jr'(t)=d2tdti-ddtt5-t2j Use…

Q: QI\ A\ Find Domain and Range for this function y √x²+2

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Q: The function k(z) shown in the table below is a linear function. Identify its slope and y-intercept,…

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Q: Write the slope-intercept equation of the function f whose graph satisfies the given conditions. The…

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Q: . Consider the function g (x) = -3x +5. a. Evaluate g (7). b. Find the value of a where g (x) = 8.

A: Given:- g(x) = -3x+5

Q: Q4.2 ;トメと2 Cosider the function fix)= if xzz for any implies Ifcx)-81lke True or false? 670, there…

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Q: Consider the​ function: h(x)=|x|−3x   a. The name of the function is:   b. the Independent variable…

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Q: solve

A: To determine the following parts of the given function.(a). find the inverse of function.(b). find…

Q: Find the values of f(x) = 9x² + 1 for the domain values of {-3, 6}. What is the domain? {(-2, 3),…

A: Function gives a definite relation between set of outputs and inputs. Domain is the set of a values…

Q: all of the above 2) Which function(s) have a Domain of ALL REAL NUMBERS? A B C all of the above, 3)…

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Q: Find f(a + h) - f(a) for the function. Simplify your answer. f (x) = 2-9x + 7 (a + h) - f(a) %3D

A: Given,  f(x) = x2 - 9x +7 f(a+h) = (a+h)2 - 9(a+h) +7 = a2 +2ah + h2 - 9a -9h +7 f(a) = a2 - 9a +7…

Q: Solve:(a) use a graphing utility to graph the function and (b) state the domain and range of the…

A: a) To graph of the function

Q: Consider the function f(x) = Ax³ + Bx² + 5x. Find the values of A and B if f'(-2) = -3 and f" (-2) =…

A: f(x)=Ax3+Bx2+5x

Q: snip

A: Given: P(a)=0.015a2-4.962a+290.580 To find: a) Identify the independent and dependent variable  b)…

Q: The function P(x) = – 1.5a? + 775x – 5500 gives the profit when a units of a certain product are…

A: As per our guidelines we are supposed to answer only 3 subparts. Kindly repost other subparts as…

Q: Find the domain fo the function 9(X) = 72-81.

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Q: An antenna has 4 guy-wires connected to the top of the antenna, and each guy-wire is anchored to the…

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Q: Use the graph of f(x) to find the x-intercepts of the graph and the zeros of the function. 20- The…

A: the x-intercepts and zeros of the function,

Q: wire 20. David has available 400 yards of fencing and wisher to enclose a rectangular area. a)…

A: Given, Width of rectangle =  x Assuming the length of rectangle = l  Now, we know the perimeter of…

Q: Find the domain of the function. 1 f(x) = Vx+12 What is the domain of f? A. (-12,00) B. [0,00) OC.…

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Q: 2x+3 Find the domain of the function H(x)= x' - 4x

A: We have to find the domain of the function H(x)=2x+3x3-4x.

Q: An equation that defines y as a function of x is given. a. Solve for y in terms of x and replace y…

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Q: An antenna has 4 guy-wires connected to the top of the antenna, and each guy-wire is anchored to the…

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Q: Write the slope-intercept equation of the function f whose graph satisifies the given conditions.…

A: Given: Two lines are perpendicular to each other. One of the line has an equation 3x-4y-12=0.  The…

Q: Plot the inverse of the function shown You must plot the points and the segments both -5 -4 -3 2 3 4…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Use the graph of the function ffor the following 2) a) Find the domain and range of the function b)…

A: Domain of function f(x) is the set of all values of x for which the function is defined and Range is…

Q: Write the function, y = 2 after the following transformations: 1) Reflect the function about the…

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Q: 03 -2 -2 28 -22 48 -62 5 -6 Y

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Q: Evaluate the diference quotient for the given function. Simplity your answer. R) -s, 12 ) - 2)

A: Given: fx=x2+5 For finding value of given expression, we put x=2+h, 2 in given expression

Q: Function g is defined by g(x) = 3(x + 8). What is the value of g(12)? %3D А. -4 В. 20 С. 44 D. 60

A: Explanation of the answer is as follows

Q: 17. A rocket is shot into the air. The height of the rocket is modelled by the function h(t) = -5t2…

A: We are entitled to solve only one question at a time so will answer only question. Please post…

Q: Use the table below to find the pattern. Fill in any missing y-values using your pattern. What type…

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Q: 10.A function is defined by the formula y=2.53x+12. Which of the following points must lie on the…

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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.