Use the graph of f(x) = x2 to sketch the graph of each function. (a) g(x) = x2 + 3               (b) h(x) = x2 - 2

Q: Sketch a graph of the function f(x) = x* – 4x' + 5

A: Given: fx=x4-4x3+5

Q: Find the slope of the graph of the function at the given point.                         f(x) = 3x2 −…

A:

Q: Find the intervals where the function f(x)= x3- 3x 2+3 is increasing and intervals where the…

A: The given function is f(x)=x3-3x2+3. It is required to find the interval in which the function is…

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 the graph of the function defined by the formula 0 , x<-1 f(x) = |1– x² ,-1<x <1 x 2 1

A: Given:     To determine: the graph of f(x)

Q: Sketch the graph of the function y=f(x)=1-x with domain [-1, 1] and range [0, 1]. Find the domain…

A: What is Domain and Range of a Function: For a function depending upon a single independent variable,…

Q: What are the x- and y-intercepts of a function, and how are they found?

A: The x-intercept is the length from origin to where the graph of the function cut the x-axis.   The…

Q: Sketch the graph of the function.

A: Sketch the graph of the function. g(x)=x-1

Q: Sketch the graph of the function f(x) = 1 - 2(x - 3)2.

A: Sketch the graph of the function f(x) = 1 - 2(x - 3)2. the function can be rewritten as…

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

Q: How is the graph of f (x) = x3 − 12x2 + 36x − 16 related to the derivative f'(x) = 3x2 − 24x + 36?

A: We have been given the equations f (x) = x3 − 12x2 + 36x − 16 and the equation of the derivative…

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: Using the attached graph, sketch the derivative. Graph of polynomial f(x) 2 6. -1 -2 -3 -5 -6

A: See the graph whereg graph is increasing f'(x) will be possitive that means it Will be above from x…

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: 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: How are the zeros of g(x) related to the standard form of the function?

A:

Q: 6. Use the graph of f(x) - to write an equation for the function whose graph is shown.

A: Given data: The given graph of the polynomial. The first point on the graph is (-2,0). The second…

Q: Sketch the graph of f.

A: To sketch the graph of the given function:…

Q: Sketch the graph of f.

A: fx=3x-4 Since denominator is zero at x=4, therefore vertical asymptote is x=4. Since the degree of…

Q: Find (f-g)(x) for f(x) = 4x- 9 and g(x) = 3?

A: Given, fx = 4x-9   gx = 3x2   We have to find f-gx

Q: Find f^-1 (x), if it exists, and graph both f(x) and f^-1 (x).  f(x)= 2x^3 -3

A: Topic  =Functions

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: Sketch the graph of the function. h(x) = 5x−2

A: hx=5x-2 Let us find the points on the given function by arbitrarily choosing the values of x. When…

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

A: The given function is,

Q: Sketch the graph of f(x)=x² /x²-1

A: Graph

Q: Sketch the graph of f.

A: Given: fx=2x+12 For drawing graph of given function, we use graphing utility  So, graph of given…

Q: Sketch the graph of f(x) = (x + 1)^3(x−1)^2

A: To sketch the graph of the given function.

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

A: The given function is fx=3x. The graph of the function as shown below:

Q: .6. Sketch the graph of f (x) = {3x+ 7, x- 3

A:

Q: Which is the graph of the function f ( x ) = { x 2 if  x ≤ 1 x − 1 if  x > 1 ?

A: Given function is fx=x2    ; if x≤1x-1; if x&gt;1 Point of discontinuity for the given function is…

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: To find g(x + 1), what do you substitute for x in the function g(x) = 8x − 2?

A: To find g (x + 1).

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 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: 11) Find the point of inflection of the graph of the function. f (x) = xVx + 27

A:

Q: State the intervals of increasing and decreasing behavior in the function f(x)=x^3+2x^2-4x+5.

A: Given: fx=x3+2x2-4x+5 To find the interval of increasing and decreasing. If f'x&gt;0 for all x in…

Q: find horizontal and vertical intercept of f(x)= -2|x+1|+6 and graphing the function

A: The given function:

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: What is the graph of the function f(x) = 2x - 1?

A: Given f(x) = 2x - 1

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: Use the graph of f to solve f (x) = -3 for x .

A:

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: 3. At what point will the graph of f(x) = 2x – 5 and its inverse intersect?

A: 3. The given function is f(x)=2x-5 Note:   Multiple questions are given, we are answered with only…

Q: Find the absolute maximum and minimum values of f(x) = 10x(2-lnx)

A:

Q: Sketch the graph of f.

A: given,

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.