Solve the given equation by selecting the graph of two related functions and finding thelr polnts of Intersection. When entering the related functions, do not expand them. 3(x- 3)2-147 0 200 200 160 160 (-4, 147) |(10, 147) 120 120 80 80 40 40 A 40 40 08- -120 -80 -120 -160 -160 -200 40 -32 -24 -16-8 0 8 16 24 32 40 -200 40 -32 -24 -16 -8 0 8 16 24 32 40 200 200 160 160 (-3, 147). |(11, 147) 120 120 80 08 40 40 40 40 -80 -80 -120 -120 -160 (-5, -147) (9, -147) -160

Q: etch a graph of f(x) = 4 -3 -2 -1 5 4 3 2- 1 -1 -2 -3 -4 -5 if x 2 1 2 3

A: Topic:- function

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: (2x – x? if 0s xS2 2-x if 2<x <3 x-2 if 3<x<4 n if x24 Let f(x) = Sketch a graph of the function in…

A: see below the graph

Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

A: To find the parabola equation in terms of x.

Q: The graph of f(x)=-x -5x+6 has the point (2, -6) on it. O True O False

A: We can check the answer is true or false as below

Q: The weekly profit, P, of a video rental store can be approximated by the formula P = 1.5n - 350,…

A:

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: Find a so that the point (-1,2) is on the graph of f(x)= ax2 + 4.

A:

Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

A: Given the vertex (h, k) = (2,-1) The parabola

Q: Determine the degree of the following functions and their leading coefficients, and use this info to…

A: Consider the polynomial: gx=-4x52x-53-x+17=-4x52x3-32x2· 5+3· 2x·…

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. Graph the piecewise function. 3x f(x) = -2x + 3 if-1< x < 4 2 if x 2 4 5 if x s-1 %3D

A: we have to add three different sub graph to make it

Q: Graph f(x) = 1/2|x + 4 | – 5 and create a table of values f(x) = 1/2|x+4|-5 f(x) 3 2- -6 -5 -4 -3 -2…

A: Given that,f(x)=12x+4-5 x f(x) Points=(x,f(x)) -4 -0.2 A=(-4,-0.2) -1 1 B=(-1,1) 0 0.3333…

Q: f(x)%3DX²-2x+5

A:

Q: Identify the vertex of: f (x) - 4 = (x + 1)² || | O (-4, 1) O (1, –4) O (-1, -4) O (-1, 4)

A: To find the vertex of function

Q: The number of citizens (N) of barangay Alapan, Imus Cavite in t years is predicted to increase and…

A: N(3)=7 (3)^4-4(3)^3+150(3)+17500

Q: Find the maximum of f(x) = -x4 - 2*x3 - 8*x2 -5*x in the range of [-2, 1]

A:

Q: The graph of the function f(x) = ax2 + bx + c has vertex at11, 42 and passes through the point 1 -…

A: Given the graph of the function f(x) = ax2 + bx + c has vertex at(1, 4) and passes through the point…

Q: The graph of the function f(x) = ax2 + bx + c has vertex at (1, 4) and passes through the point ( -…

A:

Q: If exactly 182 people sign up for a charter flight, Leisure World Travel Agency charges $290/person.…

A:

Q: The absolute maximum of f(x) = -2x + 5x215 on [-1, 1] is Select one: а. 3 О Б. 30 С. 1 O d. 7

A: fx=-2x+5x25  differentiating both sides f'x=ddx(-2x+5x25)  f'x=-2+525x-35  f'x=-2+2x-35

Q: Sketch a graph of f(x) : -3 if a 2 5- 4 2 5 4 -3 -2 -1 1 2 3 4 -2 -3 -5-

A: For x≤ -1 , y is fixed at -3  For x&gt;2 , y is fixex at 3  For -1&lt;x≤2 , y=x  For this, we make a…

Q: Write a cubic function whose graph passes through the given points. (4, 3) (-1, 0) (5, 0) -8 4 (2,…

A:

Q: Find f^-1 (x), if it exists, and graph both f(x) and f^-1 (x).  f(x)= 2x^3 -3

A: Topic  =Functions

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

A: Given

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: Draw the graph of f(x) = 3² + 1 101 7- 6- 5- 4- 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 i 3 4 5 6 7 8 9 ic -2…

A: If we equate the given function f(x) to zero So, 3x-1=0     3x=1     x=0      (Since 30=1) It means…

Q: 2x 4 if x 1 구 6- 5- 4 -8-7 -6 -5 -4 -3 -2 -I 2 5 6 -2 -3 -4- -5 -6- -7- Clear All Draw: 2]

A:

Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

A: The standard equation of the parabola having vertex at (h, k) is given by, y-k=a(x-h)2

Q: on a piece of paper graph f(x) 2x if x <3…

A: Y = 2X      IF X&lt;3 Y = 4        IF X&gt;3 PLOT THE GRAPH,

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: The graph of f(x) = -9(x – 8)² - 4 is a parabola that opens ---Select--- v , with its vertex at (x,…

A: Given,  fx = -9x-82-4    We have to find the opening of parabola, vertex and maximum and minimum…

Q: Find a so that the point ( - 1, 2) is on the graph of f(x) = ax2 + 4.

A: We have to find a so that the point -1, 2 is lying on the graph of function fx=ax2+4. Since point…

Q: Find the global maximum of the function f (x) 2x³ + 3x? – 12x + 4 - on the interval [-4,2].

A:

Q: Sketch a graph of f(x) if r-2 if -2 4

A: Given,  f(x)=2x+6if x≤-20if -2&lt;x≤41.5x-6if x&gt;4

Q: 6. Graph the piecewise defined function. 1x+4] if x2

A: We will make a table for each piece of the function y=|x+4| , x &lt; -3 x -3 -4 -5 -6 y 1 0 1 2…

Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

A:

Q: Sketch the graph of the function. xs -4 x + 3, g(x) = 1x - 2, x > -4 2 10 -10 9 4 2 1 123 4 S74+ 10…

A:

Q: The graph of f (x)%3D-x-5x+6 has the point (2, -8) on it. True O False

A: given function :

Q: The function f(x) = 2x + 33x? – 60x + 8 has one local minimum and one local maximum. - This function…

A:

Q: 0. if a 2

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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: A​ once-popular children's doll is slowly declining in popularity. The quartic function…

A: The quartic function f(x)=0.002x^4+0.025x^3-0.36x^2-7.243x+86.993, where x is the number of years…

Q: or each function.m 6. P(-2)=x4 + 3x³+x²+x+3 7. P(3)=2x³+4x²-x-9; 8. P 9. P(1) -- 4 P(3)=2x³ +…

A: Solution :-

Q: Find the domain and range of the function: 1 1- V5 - x

A:

Q: Determine the intercepts of the graph of f(x) = -4x - and 0, 16 (3,0) and 0, and 0, 16 0 and 0, 16 O…

A: Please refer the attached image for complete solution.THANK YOU.

Q: The intervals on which the function f(x) = x – 4x° + 4x2 + 6 is decreasing

A:

Q: 5 if x 1 5 4 5 -5 -4 -3 -2 -1 -1 3 4 -2 -3 -4 -5- 2.

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.