Let f(x) = 2°, g(x) = 2ª – 3, and h(x) = 2" +2. What is the relationship between he graph of f(x) and the graphs of h(x) and g(x)? - For each part below, fill in the first blank with a positive number that indicates how units the graph is shifted, then select the correct direction of the shift from the pulldown menu. help (numbers) many (a) For all a, the graph of g(a) is units ? the graph of f(z). units ? (b) For all æ, the graph of h(x) is the graph of f(x).

Q: find the slope of the function’s graph at the givenpoint. Then find an equation for the line tangent…

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Q: . Sketch the graph h(x) = x2 -x-12. Then, a.) Determine the line tangent to h(x) at x=c. What is…

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Q: y -1 1 2 4 3,

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Q: Let f(x) = xe ⁹x. a. Find the values of x for which the slope of the curve y = f(x) is 0. b. Explain…

A: To find out the values of x for which the slope of curve is 0.

Q: Q15) Use shifting graph to sketch a) y = |1– V|+ 2 b) y = -1+ 2sin (x +)

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Q: The following graph shows g(x) and consists of a line, semicircle with radius 2, and two horizontal…

A: Let us consider graph g(x) is piecewise continuous and can be represented in paths as c1 ,c2 , c3…

Q: In sketching the graph of y=f(x) = 2sin -5, we translate the graph of y=2sin by 5 units downward and…

A: To translate the given function.

Q: 3. the locator point (h, k)? Sketch a graph of each function b. y =-x+1|+ 3

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Q: (e) Sketch a reasonable graph of h (t) and of h' (t) based on your answers in (c) and (d). Certain…

A: Hi! If you need more explanation for part (e) then kindly re-post the question along with the…

Q: The curve for which y'' = 6 has a slope of –3 at its point of inflection (2, 3). Find the value of y…

A: y''' = 6 Implies, y" = 6x + a, where, a is a constant. &, y' = 3x² + ax + b, where, b is a…

Q: At which point/s does the graph of y = r+9 have a horizontal tangent line? Write the point/s in the…

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Q: 32. Given the dotted graph of y = f (x), graph the function y = /f(x). %3D a) b) GIGLU

A: Let's find.

Q: f (x) = |x – 1|

A: Given: - The function is, f(x)=x-1 To determine - Graph y = f(x) by hand by first plotting points to…

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Q: 3. Given the graph of y =f (x)below, on the same set of axes draw a graph of y =f (x). the concept…

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Q: 2) Graph f(x) = ()* xy 2 1 0 -1 -2 Fill in the table of values, then graph points and curve.

A: We have to solve above graph curve

Q: istranslated 3 unitS to the Ihe graph of y=X left and 10 units downward

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Q: Choose the correct graph of y = tan x, - < x< ": 1 27 -1 -2

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Q: 2) Graph f(x) = (x x y 2 (²= 1 0 -1 -2 Fill in the table of values, then graph points and curve.

A: We have to solve above graph

Q: Grien that the graph of fx) passes throush the point (7,4) and that the slope of its tanger line at…

A: Given problem:- Given that the graph of f(x) passes through the point (7,4) and that the slope of…

Q: Determine the missing coordinates of the points on the graph of the function.

A: Given: y=arccos x  ……1

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Q: d the slope of the secant line to the graph of f(x) = 6x - 2 from 2 to 19. If necessary, round the…

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Q: The graph of the relation T is shown below. y. 2. 4 Give the domain and range of T.

A: From the given graph, the ordered pairs are -4,4,-2,0,-1,-1 and 1,-2. Here the domain is all the…

Q: Show that the graph of y = f(x – b) is obtained by shifting the graph of y = f(x) to the right 3b…

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Q: Q15) Use shifting graph to sketch a) y = |1 – Vx|+ 2 b) y = -1+ 2sin (x +)

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Q: 1. Graph the function h(x) = (x + 1)2 + 2. Plot the point (1, 2) on your graph.

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Q: The point P(10, 1) lies on the curve y = Vx – 9. (a) If Q is the point (x, x – 9), use your…

A: Since you have posted question with multiple subparts. As per the guidelines we will solve the first…

Q: The point P(9, -3) lies on the curve y 3/(8 x) (a) If Q is the point (x, 3/(8 - x)), use your…

A: To estimate the slope of the tangent and write down its equation

Q: (a) Given the curve of y=x(x+3)(x − 2)(x-5) 10 i) Sketch the graph for -4<x<6 6 +1

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Q: Suppose a cannon is placed at the origin and elevated at an angle of 60 degrees. If the cannonball…

A: given equation is,  y=3x-160x2297

Q: Graph y = f(x) by hand by first plotting points to determine the shape of the graph. f(x) = 2

A: The given function f(x)=2 At x=-2, y=2 At x=0, y=2 At x=2, y=2 Points(-2, 2), (0,2), (2,2)

Q: f(x) is shown as a red dashed curve with the points A, B, C, and D highlighted. Draw the graph of…

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Q: Find all values of the parameter pp for which the line y=12x+2 is tangent to the graph of y=px2+20.…

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Q: 2. Find the slope of the curve y = 3x +1 at the point (-0). Draw the graph of the curve.

A: GIVEN y2=3x+1 at(-1/3,0) we need to find the slope of the curve and graph the curve

Q: Starting with the graph of f(x) = 3", write the equation of the graph that results when: %3D (a)…

A: The given equation is, fx=3x (a) The f(x) is shifted 9 unit downward  then, fx=3x-9

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Q: The point P(4, 1) lies on the curve y = Vx - 3. (a) If Q is the point (x, x – 3), use your…

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Q: Starting with the graph of f(x)=4^x, write the equation of the graph that results when: (a) f(x) is…

A: topic - transformation of function

Q: Q1) Use shifting graph to sketch a) y = 1- |V2 – x| b) y = -1+ 5sin (2x)

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Q: Choose the correct graph of y = sin x, -"sxS T: 1 -37 21 -1 -2

A: The given function is: y=sin x ;                 -3π2≤x≤π

Q: The table to the right shows the electricity rates charged by Better Than Lightning Utilities in the…

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Q: Q.2. A) For the function y f(x) whose graph is shown below, find the points of discontinuity and…

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Q: An object moves on a horizontal coordinate line. Its directed distance s from the origin at the end…

A: Given :Directed distance s from the origin at the end of t seconds is t3-6t2+9t feet.To find :When…

Q: TC = 100 + 297q (q² + 2)1 + 3q° Graph the function from 0-5 and use the geometric method to find MC…

A: Given: TC=100+297qq2+2-1+3q3 Formulas used: ddxxn=nxn-1ddxconstant=0ddxCfx=Cddxfx        C is…

Q: Step 4 Complete the table. Interval Test point k f (k) Sign of f Position of Graph To the x-axis

A: To sketch the graph of y=f(x)=x3-x2-12xx2-x-2 and complete the table:

Q: Q1) Use shifting graph to sketch a) y = 1-|V2 – x| b) y = -1 + 5sin (2x)

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.