12. The graph shown represents the function, 4- 3- A) ƒ(x) = 3*-2 +1 B) f(x) = 3*-1 +2 C) f(x) = 3*+2 – 1 D) f(x) = = 3*+1 + 2

Q: The point (1,6) is on the graph of y = f(x) . What would the new co-ordinates be for the function…

A:

Q: Graph f(x) x(x- 4)(x+4) x - 8x + 12 50 40 30- 20+ 10+ -50-40 -30 -j0 10 +10- 10 20 30 40 sp -20 30…

A:

Q: . The graph of the function f(x) = ax2 + bx + c has vertexat 10, 22 and passes through the point 11,…

A: We have  fx=ax2+bx+c To find the vertex of the quadratic equation, differentiate it and equate it to…

Q: Draw the graph of f(x) = mm. 6+3 10+ STAT ~~ 10-9-8-7-6-5 -4 -3 -2 -11 SE -9 0 4 5 6 7 8 9 10

A:

Q: 2х + 5 if x 2

A:

Q: The point ( – 8, 20) is on the graph of y = f(x). %3D 1 a. A point on the graph of y = g(x), where…

A: see below the answer

Q: Find an equation for the graph sketched below: 7- 4 -5 -4 -3 -2 2 3 -2 -3 -4 -5 -7- -8나 f(x) = 2.

A: Draw the graph

Q: 2x+3 if x<-1 Graph f(x) = -2 if -1<x<2 on the graph below. 1 -2x if x22 y 5. 4- 3 2- 2 -5 -3 -2 -1…

A:

Q: Use the graph of 5 x y = x² + 4 to approximate the values of x that satisfy y > 1. 1. None of these…

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Q: How might you restrict the domain of f(x) = x2, graphed in Figure 1.71, so that the remaining…

A: Given that, f(x)=x2 We have to Find How to restrict the domain of f(x)=x2  So that the remaining…

Q: 2x + 5 if z 1 8 7- 5- 4+ 3- 2+ 8 -7 -6 -5 -4 -3 -2 -1, i 2 3 4 5 6 7 8 -2- -3- -4- -5- -6- -7 -8

A:

Q: 2(4). The given lines are the main diagonal and the graph of f (x). Graph f (x) if it exists. If…

A: We need to graph the inverse function. Firstly, check whether the function is one-one and the…

Q: (3 - 35. f(x) = if x 2

A: We need to sketch the graph of the following function :

Q: 2. Use the graph below of y = f(x) to answer the following question. point 8 4. point 1 point 2 3 2.…

A: To answer the given function using the given graph.

Q: Find an equation for the graph sketched below 7- 4- -5 -4 -3 -2 -,VI 2 3 4 5 -2 -7- -8+ f(z) =| %3D…

A: Consider the provided graph, We need to find the equation of the above graph.

Q: 2- Correctly identify the end behavior of the graph of f(x). O 1+ 00, f (r) 00; -00, (x) → - 00 O 1…

A: We need to find the end behaviour of the graph shown above.

Q: 25. Graph f(x) = Xwhere -4 <x<4. y 5 2- 1 3. -3 -2 -1 -5 -1- -2- n -1) -3- -5-

A: Given: f(x)=12x  where -4≤x≤4for x=-4,   f(x)=12(-4)=-2  hence one point is (-4,-2)for x=4,…

Q: Draw the graph of f(x) 6" -1 10+ 7- 10 -9 -8 -7 -6 -5 -4 -3 -2 -1, I 2 3. 4 5 6 7 8 9 16 -2 -3 -D4…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Here is the graph of y = 2x – x². 2- 1- -5 -4 -3 2 3 4 y -1- -2- Find two possible functions f(x)…

A: We need to find inverse function.

Q: 1.5x +6 if x 2 7. 3- -8 -7 -6 -5 -4 -3 -2 -1 2 3 4 5 6 7 8 -2 -3- -5 -6- -7 Note: Be sure to…

A: Given: Functions

Q: Draw the graph of f(x) = 4² +4 10+ 7- 6- 4- 10 -9 -8 -7 -6 -5 -4 -3 -2 I 2 3 4 5 6 7 8 9 ic -1 -2 -3…

A: We know that, the graph of the function fx=4x is given as As we know that, the graph of the…

Q: Find an equation for the graph sketched below 7- 4+ -5 -4 -3 -2 -7, 4 -2 -3 -4 -5 9- -7 f(x) = %3D

A:

Q: 3. Sketch the graph of f(x) = 2x2 – 5x – 6. Find all intercepts and the vertex.. %3D 10…

A: Given

Q: {2*+1 if x<0 etch the graph of f(x)=X+3 EO

A: We will graph the problem.

Q: 4. Graph the equation: f(x): = 1, -2x + 4, -2, -3≤x≤0 0 ≤ x ≤ 3. x > 3 -1 5+ 44 3- 2+ +1 -1- -24 -3-…

A: This is a graph of piece wise function

Q: 16. The point (6, -5) is on the graph of y = f (x), what point must be on ay 2f(-x) +1?

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Draw the graph of f(x) = 3ª+5 10+ 5- 4 2 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 2 6 8 9 10 -2 -3 -4 -5 -7 -8-…

A: Given function is : fx=3x+5  To draw the graph of a given function fx

Q: Suppose the point (2,4) is on the graph y=f(x). Find a point on the graph of the given function.…

A: y=f(x)+4 is 4 units higher than y=f(x).

Q: 4. Graph the equation: f(x) = -3, 4, 1/² x + 1²/₁ x<-2 -2 ≤ x ≤ 1 1 < x≤ 4 -3 - 5+ 4+ 1 + 3+ 2+ 1…

A: f(x) = -3 , x &lt; - 2 x -3 -5 -7 f(x) -3 -3 -3 f(x) = 4 , -2 ≤ x ≤ 1 x -2 0 1 f(x) 4 4…

Q: Draw the graph of f(x) = 4ª -4 10+ 5- 4 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 -1 I 2 3 4 5 6 7 8 -2- -3 -4…

A: We have to draw the graph of  f(x)=4x-4.

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

A:

Q: 10. Label the graphs as f(z) or g(z). f(x) = 4" and g(x) 2" %3D -5- A. 3- 2- B. -5 -4 -3-2 2 4 5 2-…

A: Question-  10. Label the graph as f(x) or g(x)   f(x) = 4x and g(x) = 2x

Q: Find an equation for the graph sketched below 8+ 6- 4 3- -5 -4 -3 -2 -1 1 1 2 3 4 $ -2- -3 -4 -5 -6…

A:

Q: Suppose the graph of f (x) = x1/3is vertically stretched by a factor of 3 and then shifted down…

A: Given information: The function is f(x)=x13is vertically stretched by a factor of 3 and then shifted…

Q: -x – 5 if æ 4 Sketch a graph of f(x) = 1 %3D 6+ 4+ -8 -7 -6 -5 -4 -3 -2 -1 -2 -4 -5- -6- -7-

A:

Q: The graph of y = f(x) has ƒ(5) = − 5, ƒ'(5) = 1, - - and f''(5) = - 1. Which of the following might…

A: Given query is to find the graph of the function.

Q: 3 if a 2 5- -5 -4 -3 -2 -1 -1 4 -2 -3 -4 -5- Clear All Draw: 3.

A: The sketch of the given function has been provided in next section.

Q: Consider the graph of f(x). y 10 -10 -5 10 -5- -10-

A:

Q: Find an equation for the graph sketched below 4- -5 -4 -3 -2-1 2 3 4 5 -2 -3 -4 -5- -6 -7+ -8+ f(z)…

A: Given: To Find: Equation of fx.

Q: 8) Graph: f(x) = 2x2-4 5- 4. 3. 21 -6 -5 -4 -3 -2 2 3456 -41 +5+ -9- 9) Graph: g(x) =-(x - 3)2 +1 4.…

A: Given equation represent the parabola

Q: Find an equation for the graph sketched below 8+ 7- 6- 2- -5 4 -3 -21 1 2 3 4 5 -2 -3 -4 -5- -6 -7…

A:

Q: 8. If (-4,1) is located on the graph of f and g(x) = 3f (;x) + 1, what point must be on the %3D…

A:

Q: Example Graph f(x) = 3(x – 4)2 + 1 %3D 1) 9. 3) 4- 3 2- -6 -5 -4 -3 -2 -1 23456 -3 -4- -5- -6- 2. 2)

A:

Q: (-x – 5 x < -2 x -1 -2 < x < 2 -+3 2<0 Graph f(x) = 4 3 2 1 -6 -5 -4 -3 –-2 -1 -1 1 2 3 4 5 6 -3 -5…

A: given,

Q: point

A:

Q: Suppose (1, 3) is a point on the graph of y = f(x).• What point is on the graph of y = f(x + 3) −…

A: y = f(x + 3) − 5 means y=f(x) moved 3 units left and 5 units down. (x,y) -&gt; (x-3 , y-5). So,…

Q: Draw the graph of f(x) = 2-*-3 10+ 4 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 2 3 4 6 8 9 10 -2 -3 -4 -5 -6 -7…

A:

Q: 6. Graph f(x) = Vx + 2-3 4- 3- 2- 1- -3 -1- -3- 4- -5+ -6+

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.