Which of the following piecewise functions is represented in the graph below? 3 2 3 4 5 6 7 -x - 1 if x < -3 f(x) = {- - 2 if - 3 -2

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: Suppose that the function g is defined as follows. - 1 if - 3<x<-2 if - 2<x<-1 if - 1<x<0 if 0<x<1…

A: topic - functions

Q: 2. Graph the following piece-wise function: { 3 f(x) = {x + 2 {-5 if x 2

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Q: The graph below is the function f(x) 5+ 4 3 5 -4 -3 -2 -1 1 23 -2 -3 -4- -5+ lim f(x) = x →2 F(2) 2,

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Q: 11) Sketch the graph of the piecewise function below. |x + 8| + 3 f(x) = -(x-1)² -3 -5sx< 3 2/3x + 2…

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Q: The graph of the function f(x) = /x Is stretched vertically by a factor of a and is translated3…

A: Shifting or transformation of graph is very useful. When a graph is shifted or stretched or…

Q: yo Graph the function. x-3 ifx<1 1) f(x) = 1-5 if x 2 1 5-

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Q: Use the graph of the function to estimate the interval on which the function is increasing. -5- 4 3-…

A: GIven problem:-

Q: Graph the piecewise function defined by

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Q: 8. Determine algebraically if the function is even, odd or neither. y = -2' - |-2°|

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Q: Identify the function that matches the graph except at x = 2. 5 4 3 2 1- -54-3 -2 -1 -1 -2 + --4 + 1…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

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: Find all points of intersection between the graphs of the functions f(x) = (x + 5)(x-4) and g(x) = x…

A: Explanation of the answer is as follows

Q: 10. Graph the piecewise-defined function. f(x) = { 4 2x 3 if x 0 |

A: here i am taking f(x) = y (which is obvious) first drawing graph of  y= 2x-3

Q: On what interval do the graph of the function f(x) = 2(x^2 - 9) / (x^2 - 4) increasing and concave…

A: Given that: f(x)=2(x2-9)x2-4

Q: Find an expression for the function f(æ) whose graph is a line passing through the points (2, 3) and…

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Q: 0. if x -1 . Graph the function f.

A: Given the function f is f(x) = 0if  x&lt;-13if  x=-1-3if  x&gt;-1

Q: For the function whose graph is shown below, at which value of x is the graph continuous and…

A: Sol

Q: escribe the end behavior of the graph of the function  a) f(x)= -4(8)^x -3 as x-->negative…

A: Given function  f(x)=-48x-3

Q: Suppose that the function y=f(x) is decreasing on the intervals (8,3) what can be said about the…

A: Question is solved.

Q: 1 if x 1 5- 4 -5 -4 -3 -2 -1 2 3 4 5 -2 -3 -4 -5+ Clear All Draw: /

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Q: Sketch a graph of the piecewise defined function. if x < 7 1 if x 2 7 f(x) = y 10 10 - 10 10 -10 -5…

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Q: 6. Make a clear, well-labeled graph of the piecewise-defined function below. (-x-10 if x 10 if f(x)…

A: We want to plot the graph.

Q: 4. Classify the function on the graph as odd, even, or neither. 2 2. 4 -2,

A: Graph of the function is given, we have to find it is odd or even or neither

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: Find the interval in which the following function is decreasing: 3 -1 1 -1 -2 -3

A: A function f is said to be increasing  if f(x1)&lt;f(x2) for x1&lt;x2 and x1,x2 belonging to the…

Q: Define Į æ² – 5 2x + 1 - 5 if x 1 f(x) = Is there an open circle or a hole on the graph of this…

A: for this function, the value of x should be less than 1  which means there can be a hole at x=1 so…

Q: Suppose a function f(x) has the following graph: 4 2- -4 -3 -2 -1 1 2. 3 4 -1- -2- -3- -4 Write a…

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Q: Complete the equation for the piecewise function graphed below. 3- -7 -6 -5 -4 -3 -2 -1 5 6 7 -2 -3…

A: Graph of function

Q: Graph the piecewise-defined function. 2 + 3x if x 5 Choose the correct graph. O A. OB. OD.

A:

Q: This is the graph of a function. -5 -4 -3 2 -2 -3- -4+ -5+ Choose the graph of its derivative from…

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

Q: Which of the following set of piece-wise functions matches the graph shown? 3 if x 3 3 if x 2…

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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: Sketch the graph of the function with the given rule. if x < 3 5- x 3x - 7 if x 2 3 y

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

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Q: 5) f(x) = ²-4 x-2 4 if x # 2 if x = 2 Is f(x) continuous at x=2? Sketch the graph of the function.

A: (5) Solution:- Function can be written as :- Continuity of x2-4x-2:x&lt;2  or   x&gt;2, &amp;  4  :…

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: Determine where the graph of f(x) = |x - 3| is increasing and where it is decreasing.

A: To determine: The intervals where the function f(x)=x-3is increasing and decreasing. Given…

Q: Graph the piecewise-defined function. S3x ifx 0

A: GIven function fx=3x        if x&lt;0-3x     if x≥0

Q: 1 if x 2

A: Given the piecewise functionf(x)={1   if x≤-2-x-1  if -2&lt;x≤2-2    if x&gt;2  We need to graph the…

Q: Sketch a graph of the piecewise defined function. if x s -1 f(x) = x2 if x > -1 y y 15 15 10 10 X -…

A: Given the piecewise function

Q: Draw the graph of the following function: 3 when -3<x<-1 f(x)= 3x-3 when 0<xsl — 6х -3 when -1<x<0…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Sketch a graph of the piecewise defined function. -3 if x3 fx) =x y 15 15 10 10 -15 -10 -5 10 15 -15…

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

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Q: Produce a rule for the function whose graph is shown. -5 -4 -3 f(x) = -2 -1 54 4 3- 2 1 1 -2 7 -3-…

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Q: Suppose that the function h is defined as follows. if -1<xs0 if 0 <xS1 1 h(x) = if 1<xs2 3. if 2<xS3…

A: It is given that the function is defined as hx=0 if -1&lt;x≤01 if   0&lt;x≤12 if    1&lt;x≤23 if…

Q: -3 if – 2<x<-1 -2 f (x) =- - 1 if –1<x<0 if 0<x<1 if 1<x<2 Graph the function f.

A: To graph piecewise function make a table for each function as per the given interval

Q: х — 6 if x 1 | 7

A: GIven:f(x)=-x-6   if x≤-2  -3         if -2&lt;x≤1x-4      if x&gt;1To sketch the above piecewise…

Q: Sketch a graph of the piecewise defined function. So ifx < 2 l1 ifx 2 2 f(x) = y y 10 10 5 - 10 -5…

A: The solution is provided below.

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.