Use the graph of f (x) shown to identify a possible graph of f(x).

Q: Sketch the graph of the function f(x) = ln 2x  and state its domain.

A:

Q: What kind of symmetry does the graph have if f(-x) = - f(x)?

A: If f(-x) = - f(x), then the function is symmetric about the origin.  For example:

Q: Sketch a graph of f(x)

A:

Q: Use the graph of y = f(x) to sketch the graph of f'(x).

A: Transformation on a parent function can be used to find the graph of a derived function. If the…

Q: Sketch the graph of f.

A: We have to sketch the graph of function: fx=35x Since this is exponential function therefore its…

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 a graph of f. f(x) = 3x %3D

A:

Q: Sketch the graph of f.

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

Q: Use the graph of f(x) = x2 to graph g(x) = 2(x + 3)2 - 1.

A:

Q: Sketch the graph of the function f(x) = ln x − 3 and state its domain.

A:

Q: Sketch the graph of f.

A: Given- fx=4x2x-5 To draw- The graph of the above function.

Q: Graph the functions f(x) = 2x and g(x) = 2x – 3 in the same rectangular coordinate system. Select…

A: The graphs of the function f(x) = 2x and g(x) = 2x - 3 are as follows:     The green line…

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

A: answer is in next step

Q: Sketch the graph of the function and state its domain.

A: Given a function f(x)=ln 2x To find the domain : The domain is given by all the values of x where…

Q: Sketch the graph of the function given. (a) f(x) = 4x - x2     (b) g(x) = |4x - x2 |

A: Given: f(x)=4x-x2 g(x)=|4x-x2|

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

A: Given:

Q: Use the vertical line test to identify graphs in which y is a function of x.

A:

Q: Sketch a graph of the function by first making a table of values. g(x) = x2 + 2x + 1

A: gx=x2+2x+1⇒gx=x+12 When x=-2, g-2=-2+12=1 When x=-1, g-1=-1+12=0 When x=0, g0=0+12=1 When x=1,…

Q: use the graphs of f and g to graphh(x) = ( f + g)(x).

A:

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

A:

Q: Use the graph of f'(x) to identify the graph off (x). 6

A: Given graph f'(x) The graph is of the function is of the form  f'(x)=4x+122-2.5 To find f(x)

Q: Define the graph of the function f(x) = x^2?

A: fx=x2 x f(x) 0 0 1 1 2 4 -1 1 -2 4

Q: The graph of f) = x' is transformed to create the graph of g(x) = f(x) – 3 . Which graph best…

A: given function

Q: Find Domain and range of f(x)=x^x and graph it.

A: The objective is to find Domain and range of f(x)=x^x and graph it.

Q: Sketch a graph of f(x) = – 1||

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

Q: Find the x- and y-intercepts of f and sketch the graph. Approximation of graph will suffice. 1) f(x)…

A: For x-intercept : put y = 0 and For y-intercept : put x= 0

Q: If the graph of f(x) is given by Then the graph of f(-x)+2 is

A: F(x) is given

Q: Given the Graph of the Function: f (x), explain how to obtain the graph of g (a) = -f (x+ 5) +1

A: Given that: Graph of f(x).

Q: Use the graph of f(x) = |x | to obtain the graph of g(x) = 2 |x |.

A: Use the graph of f(x) = |x | to obtain the graph of g(x) = 2 |x |.

Q: Consider the function:-- f (x) = 1/2 x2   Sketch a possible graph of f' .

A: Given function is fx=12x2. To sketch a possible graph of f'. Solution: Differentiating the given…

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 the graph of the function f(x) = (2x − 1)/(x + 1)(x − 3)

A:

Q: y = (x +2)x² - 1

A:

Q: Sketch the graph of f.

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

Q: Sketch the graph of f.

A: The graph of ax is an exponential graph, and all sorts of transformations can be applied to this…

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: 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: Explain how the graph of g is obtained from the graph of f. f(x) =x², g(x)=x² +2

A:

Q: Graph the function f(x) 3° and g(x)-3-x on the same set of axes. How does the graph of g(x) compare…

A: To draw the graph of the function f(x) = 3x, find the value of the function at different points to…

Q: How can the graph of function fg be obtained from the graphs of functions f and g?

A: To obtain a graph of fg from the graphs of f and g, it is necessary to multiply f and g. Then, we…

Q: Sketch the graph of the function f(x) = ln x − 4 and state its domain.

A: Consider the function: fx=lnx-4 To sketch the graph of the function:

Q: Sketch the graph of f(x) F(x) = x² -5

A: We have to sketch the graph of the function f(x)=x2-5.

Q: Sketch the graph of f.

A: A function can be graphed by plotting some points on the function and then joining them with a…

Q: Sketch the graph of the function. y = csc x/2

A: We have to graph of y=csc x2 First, we will make a table of cosec x2

Q: Sketch the graph of fx) - x - 2x and use the graph to sketch the reciprocal function. Explain how…

A: Sketch the graph of f(x):

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

A:

Q: Sketch the graph of f.

A: Given, f(x)=3-x2

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

A: Given function is fx=1x-2

Q: Sketch the graph of the function f(x) = x. %3!

A: We know that the function f(x)=x3 maps positive numbers to positive and negative numbers to…

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.