Suppose a, b, c, and d are integers, and that a is negative and odd, b is positive and even., c is positive and odd, and d is positive and odd. For each of the six functions (a) – (f) choose one of the graphs I- XI. (a) y = -e" corresponds to graph, (c) y = -ar" corresponds to graph (b) y corresponds to graph , (d) y = corresponds to graph (e) y = = corresponds to graph . () y = cz" corresponds to graph . II IV VI VII VI IX XI II Figure 0.1

Q: Sketch the graph of the function. (4 - x2, x < -2 h(x) = 5+ x, -2 <x < 0 %3D 2+1, x 2 0 y

A: Given : for x &lt; -2 it is parabola opens downward as  sign of x2 is negative: for [-2, 0) it is…

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: If f(x)f(x) is a function, how is the graph of g(x)=2f(x-5)g(x)=2f(x−5) is different from the graph…

A: we use function transformation

Q: Is the point (1/2 , - 3/5) on the graph of the function h(x) = (x2 - 1)&gt;(x2 + 1)?

A: The given function is: hx=x2-1x2+1 To check the point (12 ,-35) is on the graph or not, put x=12,…

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: Suppose that a friend of yours does not understand the idea of increasing and decreasing…

A: Increasing Functions A function is "increasing" when the y-value increases as the x-value increases,…

Q: Suppose that the graph of a function f is known. Then thegraph of y = f( - x) may be obtained by a…

A: Suppose that the graph of a function f is known. Then thegraph of y = f( - x) may be obtained by a…

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: 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: Write the equation for this graph: 5 |(4, 3) |(3, 1) -5 0(2, 0.333) 5 10 -5- -10 f (x) = (x+

A: Consider the graph

Q: I am having trouble finding the right points to graph this function.

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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: List the x-values in the graph at which the function is not differentiable. 3 -2 - 1 1 3,

A:

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: If r is a zero of even multiplicity, how come the graph of f doesn’t just cross the x-axis at r?

A:

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: Sketch a graph of 1.5x + 4 if x 2 8+ 7- |-8 -7 -6 -5 -4 -3 -2 -1 -1+ -2+ -3+ -4+ -5+ +9 -7+ --8+ 2.

A:

Q: If f(x) = 0.5* and g(x) = 0.3* then the graph of f(x) will be the graph of g(x) when x > 0. %3D

A: f(x)=0.5^x g(x)=0.3^x x&gt;0 graph of f(x) will be above the graph of g(x)

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: Suppose ​(−1​,1​) lies on the graph of y=​f(x). Determine a point on the graph of y=​g(x), where…

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Q: sketch the graph if x1 39. f(x) = {1 %3D -1 if x1 -1 40. f(x) =

A: As per our guidelines, we’ll answer the first question since the exact one wasn’t specified. Please…

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: Determine the end behavior of the graph of the function. n(x) = -5(x+1)(3x-1)°(x+6) As x-- 00, n (x)…

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Q: Suppose (−4,1) is a point on the graph of y=f(x). What is a point that will be on the graph of…

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Q: 1-x 4. Determine if the equation y=- is a x² -2x function

A:

Q: Find a function whose graph is a parabola with vertex (5, -4) and that passes through the point (1,…

A: Please refer the attached image for complete solution.

Q: how does the graph shoft from f(x)=2x to f(x)=2x+4

A:

Q: is transformed into the graph of 2y 6 y = f(x) becomes point ( 57, If the graph of y = E(x) -4 f( x-…

A:

Q: Suppose -x+4 if x<1 f(x)= 2x+1 if x21 Graph the function f. Then determine whether or not the…

A: In the question it is asked to sketch the graphs of (f(x)=-x+4 if x&lt;1) and (f(x)=2x+1 if x⩾1) and…

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: Sketch a graph of: f(x) = 2|x – 1|- 4 5+ 2 -4 -3 -2 -1 -1 I 2 -5 3 4 -2 -3- -4 -5+ Clear All Draw:…

A:

Q: Sketch the graph of the function (+) = {2x + 1 ifx>1 if x 1 Sx²

A: Here the given function as fx=x2x≤12x+1x&gt;1 We have to draw graph y=x2 when x is less than or…

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 on the left was created by transforming f(x) = x'. Determine the equation of the graph.…

A: We need to determine equation of graph.

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

A:

Q: Identify the function shown in this graph. y 4 3 2 -5 -4 -3 -2 -1 1 2 3 4 5 -1 -5 О А. у- Зх- 2 O B.…

A: We have to find the equation of line

Q: Suppose that the graph of a function f is known. Then the graph of y = f( - x) may be obtained by a…

A: Suppose fx be a function such that y=fx First, draw the graph of the function y=fx

Q: Sketch a graph of 0.5x – 6 if x 1 -x + 7 8+ |-8 -7 -6 -5 -4 -3 -2 -1 -1+ -2+ -3+ -4+ -5+ -6+ -7+…

A: Make three tables for three parts y=-0.5x-6 x -4 -6 -8 y -4 -3 -2 y=6 x -3 0 1 y 6 6 6…

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

A:

Q: The line G in the top graph indicates that the __________ of he function is all real numbers.

A: The line 'G' has arrow at both ends. It indicates that line 'G' is limitless in y-direction.  Hence,…

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: Suppose that the graph of f(x)=x 2+x 4  is compressed horizontally by a factor of 2 and is then…

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Q: Draw the graph of f(x) = 5* - 3 10+ 7- 5- 4- 10 -9 -8 -7 -6 -5 -4 -3 -2 7 8 9 16 -2 -3 -4- -5- -6-…

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: 7- 6- -4- 2 -5 -4 -3 -2 -1 -1 1 23 4 -2- -3

A:

Q: f'(-6)=0, f''(-6)0, f(-2)

A: Given,  f'(-6)=0, f''(-6)&lt;0, f(-6)=3; f'(-2)=0, f''(-2)&gt;0, f(-2)=-3; f''(-4)=0, f(-4)=0

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

A: our objective is to find a f.

Q: 1. Sketch the graph of y=2-x. 2. If fx) =x(*+2)(z-3), use interval notation to give all values of x…

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.