Sketch the graphs of the following function. f (x) = x3 + 2x2 + 4x

Q: Sketch the graphs of the following function. f (x) = 4/3x3 - 2x2 + x

A: Sketch the graph of the following function. f (x) = 4/3x3 - 2x2 + x

Q: 1. Sketch the graph of the function: 2x2+ f(x) = 3x-5

A: To sketch the graph of the given function.

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

A: g(x)=|x|+3= f(x)+3 So, this means f(x) shifted 3 units up to make g(x).

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: Suppose the graph of the function f(x) looks like -1 Of the following graphs, which is the graph of…

A: The most easiest way to draw f-1(x) is to draw mirror image of the graph of f(x) across the line…

Q: Sketch the graph of the following two functions ( (10 – 2x if x 2 - f(x) =

A:

Q: Sketch the graphs of the following function. f (x) = x3 + 3x + 1

A: The function given is fx=x3+3x+1. For x=0, f0=03+30+1.=1. For x=1, f1=13+31+1.=5. The table for the…

Q: Find the points on the graph for the function at the value f(x) = 3. x2 7x + 12

A:

Q: Find the domain and sketch the graph of the function.   f(x) = |2x+1 |

A: The given modulus function is well defined for all real numbers. Therefore, The domain of given…

Q: Sketch the graphs of the following function. f (x) = 2x3 + x - 2

A: Given function is a polynomial function so it is well defined for all real values of x. The graph of…

Q: Consider the graph of the function f(x)=(x^2−4 )/ (x^2−12x+20.) Find the x-value of the removable…

A: The function f(x) will have a removal discontinuity at x = a when the function will have a finite…

Q: Sketch the graph of f.

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

Q: 6) Sketch the graph of the following piecewise function. x 3 x – 4 h(x) = 7 x² – 1

A: Given ,  h(x) = x - 4 ; x &lt; -2 Then ,  h(-3) = -3 - 4 = -7 h(-4) = -4 - 4 = -8 And  h(x) = 7 ; -2…

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 graphs of the following functions. (a) f(x) = x2   (b) g(x) = x3    (b) h(x) = √x

A: Graph of fx=x2 We have f-x=-x2=x2 Graph is symmetric about y-axis.

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

A: Obtain the graph of hx=-x3

Q: Sketch graphs of the following functions by hand.(a) f(x) = x2 (b) g(x) = x3

A: (a) Given function is fx=x2. List the coordinates for above function as in below table. x fx=x2…

Q: Sketch a graph of the function by first making a table of values.

A: Given function:                    f(x) = x-32,  0≤x≤5

Q: Sketch the graphs of the following function. f (x) = 3x4 - 6x2 + 3

A: f(x)=3x4-6x2+3

Q: Sketch the graphs of the following function. f (x) = 5 - 13x + 6x2 - x3

A: The given function is  fx=5-13x+6x2-x3 The y-intercept of the function will be when x=0,…

Q: what would a graph with the function f(x)= 1/x look like?

A: Given function is f (x) = 1/x.

Q: Q1: sketch a graph of the following function 1- f(x)-4x2-4

A: We can plot graph given function using graphical transformation. According to the Bartleby…

Q: determine where the graph of the function is concave upward and where it is concave downward. g(x)=…

A:

Q: Sketch the graphs of the following function. f (x) = 1 - 3x + 3x2 - x3

A: we have to sketch the graph of the function f (x) = 1 - 3x + 3x2 - x3

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

A: To determine: Graph of g(x)=3x+1 using the graph of f(x)=3x

Q: Find the domain and range of the function without graphing f(x) = 2√x

A:

Q: Sketch the graphs of the functions. 7. f(x) = (x + 2) – 1

A: 7. We have to sketch the graph of fx=x+23-1. Steps: First we will draw the graph for x3. Now to draw…

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: F(X)= (x-1]² (x+8)

A: Given query is to find the x intercept and their behaviour.

Q: Find the domain and sketch the graph of the function.   f(x) = x2 - 2x + 1

A: Let us consider the given function. Since, the functionis a polynomial, so the domain is all real…

Q: Sketch the graph of the following functions f(x)= csc 4x f(x) = - 2csc 1/3x

A: f1(x)= csc4x f2(x)= -2csc1/3x

Q: Find the domain and sketch the graph of the function. f(x) = 2-0.4x

A: To find the domain and to sketch the graph of the function fx=2-0.4x

Q: Jx + 2 if x -1

A:

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

A: F(x) is given

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

A: To sketch the graph of the given function.

Q: Q4- Sketch the graph of the function f(x) = -x² – 1

A:

Q: Find the domain and sketch the graph of the function.

A: fx=x+2    if x≤-1x2        if x&gt;-1 The domain of given function is the set of all real numbers.

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: For the function f(x) whose graph is shown, what is the value of f(4)?

A:

Q: Find the slope of the graph of the function at the given point.                        f(x) = 27/x3…

A: Given: fx=27x3Point3,1

Q: Compare the properties of the graph of f(x)=-(2x+3)+4 to the base function f(x)=2x 2.) Is there a…

A: The given functions are f(x)=-(2x+3)+4 and the base function f(x)=2x The x intercept of the function…

Q: Find the point of the graph of the function that is closest to the given point: f(x) = 2x+9 ;…

A:

Q: 11. Sketch the graph of the following function. f(x)= x³6x² - 9x [1]x- and y-intercepts

A:

Q: Find the point on the graph of f(x)=4−x2 that is closest to the point (0,1).

A: To find the point on the graph of fx=4-x2 that is closest to the point (0,1)

Q: Sketch the graph of the following piecewise function. x < -1 -2x + 4 -1 < x < 2 x 2 2 -3 | g(x) -x2

A:

Q: Find the point on the graph of f (x) = 4 − x2 that is closest to the point (0 , 1).

A: Given function f(x)=4-x2 To find the point on the graph of f which is closest to the point (0,1)

Q: Find the point on the graph of the function that is closest to the given point: f(x)= 2x+8; (0,18)

A: We have given f(x)= 2x+8; (0,18)

Q: . Find f(x), knowing that f (x)=10-0.5x +3x and that the graph of f(x) passes through the point…

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: