Sketch the graph of this function using the following guidelines: f(x) = x³ – 3x a) Intercept(s) (in exact value), if any: x- intercept(s) = y - intercept = b) Increasing and decreasing intervals (in interval notation): Increasing interval = Decreasing interval =

Q: Determine where the graph of the function F(x) =x²-15x downward. Also, find all inflection points of…

A: We need to determine where the graph of the function f(x)=x3-15x is concave upward and where it is…

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A: Given, f(x)= 9-4x⁴ Therefore, f'(x)= 0-4*4x³= -16x³ f"(x)= -16*3x²= -48x²

Q: Sketch the graph of the function defined piecewise by the formula f(x) = {0,x 1.

A: fx=0 ,             x≤-11-x2,   -1<x<1x,                x≥1

Q: Refer to the graph of the function f and determine whether the statement is true or false. 3 -y=f(x)…

A:

Q: Use the Vertical Line Test to determine whether the curve is the graph of a function of x.

A: Vertical line test : The vertical line test is used for determine whether a graph represents a…

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A: Topic = Application of derivative

Q: Explain why the graph of a nonzero function is never symmetric with respect to the x-axis.

A: To be symmetric about the x-axis. We must have points of the form (x,-y) when (x,y) is on the…

Q: Sketch the graph of the function. Jx+ 3, xs -5 g(x) 4, x > -5

A: Given,          The function is gx=x+3x≤-512x-4x>-5

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: What is the domain? What is the range? What is the x-intercept if any? What is the y-intercept if…

A: The given function is fx=-2x-1       x<-32x-3          x≥-3. Find the coordiantes of the…

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

A: Given: fx=x-2. Here,  x-2≥0      x≥2 Therefore, the domain of fx is x≥2 and range of fx is R+  For…

Q: sketch the graphof the function.y = e−x

A: GIVEN y = e−x we need to sketch the graph

Q: Use point plotting to graph f (x) = x + 2 if x ≤ 1.

A: The given function is

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

A: Hx=x+1 When x=0, H0=0+1=1 When x=1, H1=1+1=2 When x=2, H2=2+1=3 When x=-1, H-1=-1+1=0 When x=-2,…

Q: Find the points on the graph of the function that are closest to the given point. f(x)=x², (0, 9)…

A: Given function is fx=x2  and the point is 0, 9   To Find: The points on the graph of the function…

Q: List the x-values in the graph at which the function is not differentiable. -3

A: In this question with the help of graph theory we have to find the points where function is not…

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

A:

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

A: The given graph is

Q: What must be done to a function’s equation so that its graph is reflected about the x-axis?

A: What must be done to a function’s equation so that its graph is reflected about the x-axis?

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A: Consider the provided function, fx=x3-9x2+27x-27 Find the point of inflection of the graph of the…

Q: sketch the graph of function Xy-y-1=0

A: xy-y-1=0 we can draw the graph of the function

Q: Sketch the graph of the function. f(x, y) - 4 - x - 4y2

A: Sketch the given function

Q: at is the graph of the function

A: Given that: f(x)=4-xx+2

Q: Find the intervals on which f(x) = x(x + 3)(x – 1) is positive by plotting a graph. (Enter your…

A: Given - A function To Find - Interval for f(x)>0

Q: Sketch the graphs of the following function y = 2/x

A: Given: y=2x Substitute 2 for x to determine the value of y. y=22=1 Substitute -2 for x to…

Q: A y

A:

Q: Assume that (a, b) is a point on the graph of f. What is the corresponding point on the graph of the…

A: The point on the graph of f is a, b.

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A: Given query is to find inflection point and interval where concave up and down.

Q: Find the points on the graph of the function that are closest to the given point. F(x)=x², (0, 9)…

A: f(x)=x^2, (0,9)

Q: Investigate the given function and graph it accurately. 1. y = x²-x+1 x-1 2. y = In - -1 x+5

A:

Q: Determine where the graph of the function is concave upward and concave downward and find all…

A:

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A: Concavity

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 a graph of the function by first making a table of values. H(x) = |2x|

A: Solving this question, we start by making the table of the equation for values -3, -2, -1,0, 1, 2…

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A:

Q: Given the function y - fx) – -–2)' +2. 1 Sketch the graph of the function, indicate the horizontal…

A: Given. F(x) = -(X-2)³+2 Rhe above function can be written as Y = -(X-2)³+2 (Y-2) = -(X-2)³ Now we…

Q: Sketch the graph of the function. y = e−x

A: The given function is y=e-x   First we will make a table which will satisfy y=e-x

Q: find the domian of the function. verify your result with a graphing calculator table or graph f(x)=…

A: Given function f(x)=x-2x+3

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 a rough graph of the function without using acalculator.   y=   -e-x

A: Given: y=-e-x

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 the function by first making a table of values. H(x) = |3x| X -3 -2 -1 1 2 H(x)…

A:

Q: how can I traslate this to graph using given function? with T- chart g(x) = √x-2    h(x) = √x+3

A: Given functions are   g(x) = x-2    h(x) = x+3     First draw the graph of g(x) To draw h(x), with…

Q: Use the graph of f to determine the x-intercepts. Where applicable, use interval notation.

A: Given graph is:

Q: Sketch the graph of the function. y = e−x2

A: we have to sketch the graph of y=e-x2

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

A: Explanation :- The vertical line test can be used to determine whether a graph represents a…