if a < - 2 - x +1 if -2 < a <1 Sketch a graph of f(x) 3 if a>1 4 -5 -4 -3 -2 -1 4 =2 -3 -D4 -5 Clear All Draw: Line Dot Open Dot Notes: Only use dots at if two parts of the function don't connect. Once you draw a line segment, click outside the graph if you need to end the line.

Q: 3 if a 2 4 3. 2 -5 -4 -3 -2 -1 1 2 3 4 -1 -2 -3- -4- -5+ Clear All Draw: Line Dot Open Dot Notes:…

A:

Q: 3 if x 0 g(x) = -1 %3D if x 0 Graph the function g.

A:

Q: f(x) = x(x+2)3 (x-4)2

A:

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: 2x + 6 if z 2

A: Consider the given function, For the interval x ≤ -3 it is the line f(x) = y = 2x + 6. To draw a…

Q: if a 2 5- 4 -5 -4 -3 -2 -1 2 4 -2 -4 -5+ Clear All Draw: Note: Be sure to include closed or open…

A: We can use the graphical plotting in order to solve the given problem.

Q: Find the points on the graph of the function that are closest to the given point.

A:

Q: Graph the function y = -f(x+ 1)- 2, where the graph of y = f(x) is given below. 4 3 y = f(x) -5…

A: The objective is to draw the graph of y=-f(x+1) -2

Q: 0if a 2 Sketch a graph of f(x) = %3D 4- 3- -5 -4 -3 -2 3 4 -1 -1 -2 -3 -4 -5 Clear All Draw: Line…

A: We have to Sketch the graph from the given function

Q: A wire 10 meters long is to be cut into two pieces. One piece will be shaped as an equilateral…

A:

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

A:

Q: Find the coordinates of points where the graph of f(x) = -x3 + 6x2 - 9x + 13 has horizontal…

A:

Q: Q1// Graph and discuss, with detail, the continuity of the function -1 <x< 0 x2- 1 2x 0 <x< 1 y =…

A: The given function is y=fx=x2-1,-1≤x&lt;02x,0&lt;x&lt;11,x=1-2x+4,1&lt;x&lt;20,2&lt;x&lt;3

Q: A wire 10 meters long is to be cut into two pieces. One piece will be shaped as an equilateral…

A: Given, a wire 10m long which is cut into two pieces. One will be shaped as equilateral triangle and…

Q: (-x² – 2x+3 if x1 a. Sketch the graph of f(x)

A:

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

A:

Q: If f(x)=3^x and g(x)=7^x then the graph of g(x) will be _____ the graph of f(x) when x

A: f(x) = 3^x so f(x) for all numbers,  f(x) = {1,3,9,27,81...}   f(x) = 7^x so f(x) for all numbers,…

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: A graphing calculator is recommended. A market analyst working for a small-appliance manufacturer…

A:

Q: Sketch a graph of f(x) = 0.5|x + 2- 1. Before sketching the graph, determine where the function has…

A:

Q: Find the x- and y-intercepts of the graph of the function ƒ (x) = −2|x + 7 + 2. Enter your answers…

A:

Q: If f(4) = 10 then the point (4,          ) is on the graph of f.

A: To find: If f(4) = 10 then the point (4, _____) is on the graph of f.

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: 3 if x 1 5t 4 -5 -4 -3 -2 -1 2 3 4 -2 -3 -4 -5+ Clear All Draw: Note: Be sure to include closed or…

A: It is required to plot the given piece wise function.

Q: In Problem,determine whether the graph is that of a function by using the vertical-line test.If it…

A: Given: The graph of the function. To determine: Whether the given graph is a function or not by…

Q: A graphing calculaton recommended. A market analyst working for a small-appliance manufacturer finds…

A: To plot the graph of the profit function P(x)=8x-0.3x2 -0.0013x3 -379 and answer each of the given…

Q: In Problem,determine whether the graph is that of a function by using the vertical-line test.If it…

A: Vertical line test: Use to determine that the graph is a function or not. A function has only one y,…

Q: 3 if z1 Sketch a graph of f(x) 5 4 -3 -2 -1 3 -2 -3 -4 -5 Clear All Draw: Note: Be sure to include…

A:

Q: If f(3) = 13, then the point (3, is on the graph of f. %3D

A:

Q: snip

A: Function is the unique relation where each x is mapped to a unique y. It can be of many types,…

Q: (*) The graph of the function g(æ) contains the point (6, What point must be on the graph of y = 5…

A:

Q: 3 if a 2

A: From the basics of Limits and Continuous

Q: -1.5x 6 if r 2 Note: Be sure to include closed or open dots, but only at breaks in the graph. 5- -8…

A: Below is the graph

Q: x2-5x-14 5. Graph function of f (x) = X-4

A:

Q: The graph of y ={(x) = V- 9 is horizontally stretched away from the y-axis by a factor of3 to…

A: fx=x-9

Q: Pls graph the function given below with solution. f(x)= 2x-4 if -1≤x≤2 and x³-2 if 2<x≤3   Find:…

A: Given that, f(x)= 2x - 4; if -1≤x≤2 f(x) = x³ - 2; if 2&lt;x≤3 Then we get, f(0) = 2(0) - 4 = 0 - 4…

Q: 2x + 6 if z 2 7- 5- 4- 2- 8 -7 -6 -5 4 -3 -2 -1 -2 -3- -4 -5 -6 -7 Clear All Draw: Note: Be sure to…

A:

Q: a. Graph y = x4 + 6x2on [-10, 10] by [ -10, 50] .b. Is it possible for the graph of this function to…

A: Lets graph the equation using graphing calculator Set the x axis from x=-10 to 10 Set the y axis…

Q: Sketch a graph of f(x) 1 x + 2. No work needs to be shown for this problem. %3D 5+ 4 -5 -4 -3 -2 -1…

A:

Q: if a 2 5t 4- -5 -4 -3 -2 -1 2 4 5 - -2 -3 -4 -5+ Clear All Draw: 1. Note: Be sure to include closed…

A: f(x)=3                if x≤-2-2x-1     if -2&lt;x≤2 -2            if x&gt;2

Q: x + 4 if x 1 |

A:

Q: (x-4)(x-3)²(x+4)² how to graph the function f (x) (x+2)(x+5)²(x-3)

A: We have to graph the function                                               fx=x-4x-32x+42x+2x+52x-3

Q: Suppose that the graph of a function f is known. Explain how the graph of     y = 4f(x) differs from…

A:

Q: 1 Graph the function f(x) -1. - 5- 4 -5 -4 -3 -2 -1 3 4 5 -1 -2 -3 -4- -5+ Clear All Draw:

A:

Q: a) Graph the following function. { if 1 Sx<3 if 3sxS7 (x-2)2 f(x) = -3x+15 b) Find the domain of f.…

A: The given piecewise function, fx=x-22if 1≤x&lt;3-3x+15if 3≤x≤7 To find the domain, graph and…

Q: - The graph of f(x) = is reflected about the y-axis and compressed vertically by a factor of . What…

A: Transformation of function f(x) to new function g(x).

Q: Find the graph of f(x)=x^2+1/

A: To graph the function

Q: Graph the function. f(x) = 3x2 + 6x + 5 Graph Layers « 10 8 After you add an object to the graph you…

A: It is equation of upward parabola. We will find it's vertex by concept of extrema of function.

Q: Sketch a graph of f(x) = = - 3 X - 2 1 -5 -4 -3 -2 -1 if x 1 -1 -2 -3 -4 -5+ Clear All Draw: ✓ 1 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.