Example 3. Graph the following functions on the same axes in different colors. a) f (x) = 6sin x and m(x) = = 6sin x + 4 %3D -12 -8 4- TT/2 3TT/2 TT 2TT 5T/2 -4

Q: What are the vertical and horizontal shifts of each? f(x)=-1/2(x − 3)2 +4 h(x)=(2(x+2))^2+6…

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Q: Example 1: Graph the following function on the coordinate plane. _y = x² + 2x - 1 y

A: take value of x put in equation then find value of y and plot graph

Q: sketch the graph of each function. ) y = x(x - 4)(x – 1) | -(x- 1)(x + 2)(x – 3) %3D b) у

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Q: 3. Use the graph to evaluate the following: f(x) A. f(g(-1)) = B. g(f(-1)) = 8(x) -5 C. f(f(0)) = D.…

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Q: If f is a one-to-one function with the following properties: f (3) = 13, f(21) = 4, f(5) = 1, and…

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Q: Question 8

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Q: Describe how the behavior of the graph in Figure 10 near x = 1 can be predicted by the simplified…

A: As x approaches 1, the function becomes undefined.

Q: 6. Use the graph of f(x) - to write an equation for the function whose graph is shown.

A: Given data: The given graph of the polynomial. The first point on the graph is (-2,0). The second…

Q: Describe the transformation from f (x) to g(x) if the black parabola represents f () = x² and the…

A: In the given graph the black curve represents the function,f(x) = x2

Q: Example 1 Graph the following functions

A: We have given function y=2sin3x+π4=2sin3x+π12 Amplitude of function=2 Period=2π3 Phase shift is π12…

Q: Find an equation for the graph sketched below 2 -5 -4 -3 -2 -1 I2 3 4 5 -2 -3 -4 -5 -6 -7 f(x) = %3D…

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Q: Find an equation for the graph sketched below: 7 6 f(x) = -5-4-3 -2 -1 15 43 2/7 7 -2 2 3 4 5 6 7 9…

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Q: Sketch a graph of: f(x) = 2|x+3|– 1 5+ %3D 4 -5 -4 -3 -2 -1 4 5 -1 -2- -3 -4 -5+ 2. 3. 2.

A: Answer is mentioned below

Q: 1. Graph the function f (x) =x

A: Solution..

Q: Differentiate the function. y = 127x - 4 A y = 7In(12)127x – 4 В y = (7x – 4)12(7x – 5) %3D

A: Given: y=127x-4 we know that ddxax=axlna                                            ..1

Q: The function S (2) = x over the domain (0, 00) is shown. 10

A: Inverse function is find by switching x into y and y into x , then solve for y .

Q: III. Graph the following functions: 4. y lIn(x-3) 5. y= In(x-1) 6. y= In Vx-1

A: Consider the functions 4.   y=|ln(x-3)|5.   y=lnx-126.   y=lnx-1

Q: 3. Use transformations to sketch a graph of the following: f(x) = |x+3|– 4 %3D

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Q: 2. Graph each function. a) f(x) = –3(x – 2)² + 5 b) f(x) = 2(x + 4)(x – 6) %3D %3D

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Q: Consider the following function. p(x)=x2+5x+4 Step 3 of 3:  Find two points on the graph of the…

A: Consider the following function. p(x)=x2+5x+4 Find two points on the graph of the parabola…

Q: The figure 2 y 1 shows the graph 10 of the function f(1) = -00 T m TT

A: We will find out the required solution.

Q: if a 1 3- 21 -5 -4 -3 -2 -1 4 5

A: Given