Sketch a graph of f(x)={ 1 if x1}. Be sure to include open and closed portions of the graph.

Q: Sketch the graph of f.

A: fx=-4x-22 Since the denominator is zero at x=2, therefore it has the vertical asymptote at x=2.…

Q: Sketch a graph of f(x): = 2 -x+1 3 if x 1

A:

Q: Draw the graph of f(x) and discuss its differentiability at x = 1.

A: Given fx=x2,     x≤1x,   x>1

Q: SKetch graph : f(x) (2-x if xI

A: For  x<-1f(x)=2-xat x=-2   y=f(x)=4at x=-3   y=f(x)=5 Plot this line on graph

Q: Sketch the graph of the function. (Restrict your graph of the function to the domain [0,5).) gx) = 5…

A: We need to plot the graph of the given function.    gx=x   ,    x∈[0,5)

Q: Sketch the graph of f.

A: Given                               f(x)=(x-1)x3-4x…

Q: Sketch a graph of f(x) = |2 - 1- 2 1.

A: Given Data: Function: fx=12x-1-2 ......1 Substitute different values of x to obtain values of f(x).…

Q: For a curve to be symmetric about the x-axis, the point (x, y) must lie on the curve if and only if…

A: Consider a curve symmetric about the x axis.Then the point (x,y) lie on the curve if and only if the…

Q: Sketch a graph that shows f'(x) and f''(x) are always negative

A: answer is in next step

Q: Let X be the graph of f(x) = x-1s given below

A: Sol

Q: Show that the production function f(x) = - () x³ + 10x² + 5x, –∞<x<∞ has both a concave and convex…

A: Given f(x)=-23x3+10x2+5x, -∞≤x≤∞ Consider the function f and its derivative f' can be differentiated…

Q: Draw the graph of a function that is symmetric with respect to x = 2.

A:

Q: 7) Sketch a graph for f(x) 3 + 2-x

A: To plot the given function:

Q: Draw a graph of function a ド」 f(x) ニ 2, メ= -X +1, ×7 |

A: See attached file for a step by step explanation.

Q: Sketch a graph of f(x) = – 1|x| %3D -

A:

Q: Sketch the graph of f(x)= x2 + 1

A: Given Data The equation of the graph is fx=1x2+1.   The graph of the equation fx=1x2+1 is,

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: Sketch the graph of h and determine its domain and range if 3, x 0 x – 2

A: Graph is given below:-

Q: Sketch the graph of f (x) = x |x|. Then show that f'(0) exists.

A: If f(x) is a continuous function, then derivative of the function at point a exits if and only if…

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: Sketch the graph of the function defined by the formula 0, x<-1 f(x) = /1- x² ,-1< x < 1 x 2 1

A: Given function, f(x)=         0  ,           x≤-11-x2 ,      -1&lt;x&lt;1        x  ,           x≥1

Q: Consider the graph of f' (x). At what value (or values) of x do f (x) have a local maximum?

A:

Q: Sketch a graph of f(x) = – 1||

A: Given function is                                              f(x)=-|x|=-x; x≥0x   ; x≤0

Q: Sketch the graph of the function. 4+x if x < -2 f(x) = {x2 %3D if -2 sx < 2 6- x if x 2 2

A:

Q: Sketch the graph of f(x) = x lxl. Then show that f '(0) exists.

A: A function is a relation which maps each value in domain to exactly one value in range.  For a…

Q: Sketch the graph of f (x) = 3 x +1

A: The given function is,

Q: Select the graph of the function. f(x) = In(x+9)

A: Given function, f(x) = ln(x+9) To be found : correct graph of function

Q: Draw the graph of any function f (x) that passes through the point (3, 2).

A: Consider the function  f(x)=x-1. Put x=3. f(3)=3-1=2. So the graph of the function passes through…

Q: Sketch the graph of the floor function f(x)= |x +1|| over the interval [-3, 3)

A:

Q: Sketch the graph of f (x) = xex .

A: Solution : Consider the given function;' f(x) = x ex We have the graph of ex

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 f.

A: Solution:Givenf(x)=x2-x-6x+1To sketch the graph of the given function.

Q: Sketch a graph of the piecewise defined function.

A: We have to draw the graph of function fx=1-x2,      if x≤2x       ,      if x&gt;2   Graph for…

Q: Sketch a graph of the piecewise defined function. 1 – x if x -2

A:

Q: Sketch a graph of the piecewise defined function.

A: Given function, f(x)=1         if  x≤1x+1    if  x&gt;1

Q: Sketch a graph of f(x) = – x + 2

A:

Q: Sketch the graph of the function: (plot at least 4 points on the graph) -5x +2 ,x<0 F(x) = 1-x²-2 x…

A:

Q: 0. if a 2

A:

Q: sketch the graph of the function = 2-4cos x

A:

Q: Sketch the graph of f.

A: The given function is fx=x-11-x2. Sketch the graph of the above function as shown below.

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

A:

Q: Sketch the graph of f'(x) for f(x) = x³ + x³ . Label at least 3 points on this graph .

A:

Q: sform the graph of f(x) into that of 7) flz) = |x| g(x) = 2|x +1|

A: Solution:-

Q: sketch the graph of f(x) = 2x and label two-point.

A:

Q: Sketch the graph of f if f(x) x - 2

A: Given function is fx=1x-2

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

A:

Q: Sketch the graph of the function. 4x +2, 4x2-1, -1 1 xs-1 k(x)

A:

Q: : Sketch the graph of f(x) = -xel/x %3D

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.