Complete the left half of the graph of y f(x) in the figure for each of the following conditions. (a) f(-x) = f(x) (b) f(-x) = - f(x)

Q: Find f(x)=x-8/6x-1 and find the equation of the line tangent to the graph of f at x=2. and what is…

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Q: Sketch the graph of y = f(x + 2) - 1, where f(x) = x 2 for -2 ≤ X ≤ 2.

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Q: Use the graph of y = f(x) to sketch the graph of f'(x).

A: Transformation on a parent function can be used to find the graph of a derived function. If the…

Q: 2) y=-5+ Vx+ 1

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Q: Sketch the graph of the function

A: We need to sketch the graph of the function, y=e-x2

Q: Sketch the graph of y = f(2x) and y = f(x), where f(x) = \x| +1

A: The figure below shows the graph of y=f(2x)=2|x| + 1.

Q: snip

A: We have given f(x)=2x2+5, g(x)=3x+a and f∘g crosses the y-axis at 23. f∘g (read as "f of g") is a…

Q: Sketch the graph of y = f (x + 2) − 1, where f (x) = x2 for −2 ≤ x ≤ 2.

A: To sketch the graph

Q: Find the slope of the secant line connecting the points on the graph f(x)=2h+4x-12, with the given…

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Q: A3) Find the equation of the line tangent to the graph of f(x) = 4x + 3r² – 6x – 4 at x = -3.

A: f(x)=4x3+3x2-6x-4 at x=3,

Q: - Find all k so that the graph of y = Er2 kx - + 9 is tangent to the x-axis. 4

A: We have to find all values of k such that the graph of this function will have tangent as x axis.…

Q: Find an equation for the line tangent to the graph of f(x)=−7xe^x at the point (a,f(a)) for a=2.

A: Given:

Q: Find the point on the graph of the function x = √10y that is closest to the point (0, 4)

A: The given function and point are x=10y and (0, 4) respectively. The graph of the function x=10y is:…

Q: Use the graph of y = f(x) to graph y = f(-x) + 3. (0, 4) (3, 2) (-2, 0) 1- -4-3-2-1, 2 3 4 -2- -3.…

A: Given graph: y=f(x) We need to graph y=f(-x)+3

Q: 1-Sketch the curve for f(x)= =-2r+4 x-2

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Q: 2. Given the graph of y = f(x), sketch the graph of y =-f(x+1).

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Q: The graph of y = -f(x) is obtained from the graph of y = f(x) by reflecting in the__________ .

A: A vertical reflection reflects a graph vertically across the x-axis, while a horizontal reflection…

Q: 61. If f(x) = 2x² + 5 and g(x) = 3x + a, find a so that the graph of fo g crosses the y-axis at 23.

A: f(x)=2x2+5g(x)=3x+a

Q: 8. Given (x) - x', sketch the graphs from y = f(x) to 1 1 (x + 6) 2 (x - 5 = -

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Q: х3 — х2 — 12х x - - Sketch the graph of y = f(x) | ,2 x* - х — 2

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Q: Pls help on this question. ASAP

A: Given the function f(x) = -x2 + 5 We need to find slope of the secant of f(x) between x= -2 and x =…

Q: fird the equation of the fangent lineto the graph of Y= ☆ at X=2

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Q: Find an equation for the line tangent to the graph of  f(x) = 6xex at the point (a,f(a)) for a =3

A: To write down the equation of the tangent to the curve at the given point

Q: r f(x)=x^2/(1+x), determine the concavity of the graph o

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Q: The graph of y = -f(x) is the graph of y = f(x) reflected across the -axis.

A: Known fact: The graph of y=-fx can be obtained by reflecting the graph y=fx across the x-axis.

Q: Find the point on the graph of the function y = 4 - x2 that is closest to the point (0,2)

A: Find a point (x, y), closest to the function.

Q: The slope of the oblique asymptote to the curve f(x) = x +11 corresponds to

A: folllow the procedure given below.

Q: what is the slope of the curve

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Q: 2. How does the graph of f (x) =- Vx+4 – 3 differ from the graph of y = - VX?

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Q: The graph of y = f(æ) is given below. 3. 4 -3 - -1 2 3 4 5 1.

A: The given figure is,

Q: 1,0

A: For the domain and range we see that it is a straight line, so the domain will be the set of…

Q: For what values of x does the graph of f(x) = x3 + 3x 2 + x + 3 have a horizontal tangent?

A: the given function is: fx=x3+3x2+x+3 we have to determine for what values of x does the graph of…

Q: In sketching the graph of y=f(x) = – 3cos +)+4, we translate the graph of y = - 3cos s 5 by 4 units…

A: Transformation of graph

Q: Sketch the graph of y = f(2x) and y = f(½x), where f(x) = lxl + 1

A: It is given that, f(x)=|x|+1   and if y=f(2x), then the function will be, y=f(2x)⇒y=|2x|+1⇒y=2|x|+1…

Q: Find the set of values of k for which the curve y = (k+ 1)x² – 3x+ (k + 1) lies below the x-axis.

A: We will solve the following

Q: Find the points on the graph of the function y = x^2 + 5 that are closest to the point (0, 3).

A: Here we can use application of derivatives ti find the closest point.  Here we want to minimise the…

Q: Find an equation for the line tangent to the graph of f(x)=-5xe^x at the point (a,f(a)) for a=3…

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Q: For the graph of f(x) = x-7x² -6x +5, find the value(s) of x for which the tangent to the curve is…

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Q: 5 .4 .3 :2 ÷7 -6 –5 -4 -3 –2 -1 1 2 3 4 6 7

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Q: Suppose that the graph of x = f(y) lies to the left of the y-axis. Is f(y) dy positive or negative?

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Q: use the graph of y=f(x) to graph g(x)=-f(x-1)-1 given the coordiantes (-4,0) (-2,-2) (0,0) (2,2)…

A: we have been given the coordinates (-4,0), (-2,-2), (0,0), (2,2), (4,0) for the graph y=f(x) first…

Q: Use the graph of y=f(x) to graph the given function. 4 3 2- -3 -2 -1 3 y= f(x) -1- -2- -3- ソ=f(-x) y…

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Q: 18 Find | f(x) dx for each graph of y = f(x). (a) 20- (b) AY 20-

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Q: A reflection in the x-axis of the graph of y = f(x) is represented by h(x) = ________, while a…

A: Since, we know that the reflection of point (a,b) in x-axis is (a,-b)and the reflection of point…

Q: Use the given graph of y = f(x) to solve graph g(x) = f(x - 1) + 1.

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Q: Use the graph of y =f(x) to graph the given function. 4- -5 -2 3 -4 y = -f(x) 3. 2. 1.

A: Consider the figure y=fx, which is given below From the above figure, y=x+3 if −4<x≤−12…

Q: Sketch the graph of the function. y = e−x/2

A: Graph of the function y = e-x2

Q: If f(x)=5x2, and g(x)=f−1(x), what is the slope of the curve g(x)=f−1(x)g(x)=f−1(x) at the point (5,…

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Q: Is the graph of g(x)=4x^3+9x^2+7x+3 concave up or down at the point with x-coordinate −2?

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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.