Determine whether the graph of y = x3 – 4x is symmetric with respect to the x-axis, the y-axis, and/or the origin. Use the methods indicated below. Determine this algebraically. (SHOW WORK!) a. В. Support this decision graphically. (Provide a rough sketch.)

Q: Find all the local maxima, local minima, and saddle points of thefunction9. ƒ(x, y) = x3 - y3 - 2xy…

A: Consider the provided function, fx,y=x3-y3-2xy+6 Find all the local maxima, local minima, and saddle…

Q: Q26) Use shifting graph to sketch a) y =-|2x2 – 1 |+3 b) y = -1+ 5sin (2x)

A:

Q: 2) y=-5+ Vx+ 1

A:

Q: Find an expression for the function whose graph is thegiven curve.   The bottom half of the parabola…

A:

Q: 1 Sketch a graph of y 2* x – 1

A: The given equation is    y  =  (-1/2)x - 1    Slope  =  -1/2  Y intercept  =  -1  X intercept  =  -2…

Q: se shifting graph to sketch a) y = |-Vx+ 1|+2 b) y = 1+2cos (6x)

A:

Q: Calculate the x- and y-interсepts of the graph:   y=3-3x^3   A)x - intercept (0,1), y -…

A: Draw the graph: For X-intercept, put y=0: X-intercept is 1. The point of x-intercept is (1, 0).

Q: Find the maximum and minimum value of the function and the inflection point of the given curve…

A: Given :

Q: Find the point or points on the curve y - 4x² 20 that is closest to (4, 0). The point is (Enter your…

A:

Q: te an equation for a graph obtained by vertically stretching the graph of y=x² _by a factor ollowed…

A:

Q: The graph of g(x) = logs(-x) is the graph of f(x) = logsx reflected about the %3D

A: We can plot both the graphs to see thatThe blue curve represents the equation y = log5(x) and the…

Q: Sketch the graph of glx) = 2?J x + . Support the graph by a table

A:

Q: 5. Reconstruct the graph I from its subgraphs : F; =r-v;, where T3 = K13 T= Is= K13+e; T:. P,UK,

A:

Q: 5] Sketch the graph of r(t) = and show the direction of increasing t.

A: Sin(t) is increasing function from 0 to 90 degree. So that t will increase in the anticlockwise…

Q: The graph of y = -f(x) is obtained from the graph of y = f(x) by reflecting in the__________ .

A: A vertical reflection reflects a graph vertically across the x-axis, while a horizontal reflection…

Q: The slope of the secant of the graph of y=2x2 -3 through the points at which x = -2 and x = 1 is 1)…

A: Given:      y = 2x2 - 3  Points : x = -2 , x = 1

Q: 4. Which points on the graph of y = 2–x2 are closest to the point (0, 1)?

A: we use second derivative method to find point on curve which closest to given point

Q: f(x)=-4x+2/(x+1)^2(x+5) Sketch the graph label the xintercepts and the y intercept.

A: Given that, the function is fx=-4x+2x+12x+5.

Q: V: Sketch the graph at: a) Jex)= X3 6) fex X x2-1 3/ x4.

A: a) fx=x3x-22b) fx=xx2-1c) fx=x2-123-x43

Q: fird the equation of the fangent lineto the graph of Y= ☆ at X=2

A:

Q: What point in the graph y=e2x is closest to the origin (0,0)

A: Let us take (x, e2x) in y=e2x distance of the point from the origin is:

Q: j) Draw the graph of y -3(x+5)² - 4. Label the x and y intercepts (with actual values) on the graph.

A: To draw the graph of the below equation and to label x and y-intercepts. y=−3x+52−4

Q: Question If h(r) = 8x + 8z2 - 3x- 2, what is the a coordinate of the inflection point for the graph…

A:

Q: Q16) Use shifting graph to sketch a) y = |(x – 3)² – 2| b) y = -1+ 5cos (x –-)

A: Given a y=x-32-2b y=-1+5cosx-π2

Q: 4. Which of the following points lies on the graph of y= x² - 5? (1) (3, – 2) (3) (5,0) (2) (-2, –…

A: The given function is: y=x2-5

Q: The graph of y = /x is compressed vertically by a factor of Write an equation for this transformed…

A:

Q: 2 Sketch the graph of y - 1 3

A: Given,           The equation of the line is y=-23x-1 .

Q: Identify and sketch the graph of the given equation in R3 z = 1- ex

A: A cartesian coordinate system contains 3 mutually perpendicular number lines named x-axis,  y-axis,…

Q: Use shifting graph to sketch a) y = 1-|V2– x| b) y = -1+ 5cos (2x)

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: c. If A(x) = x² In(f(x)), what is the value of A'(2)? What does this result say about the behavior…

A:

Q: 3x 4. Find the member of the curve whose slope at any point is and passes through the 4y

A:

Q: Consider the graph T: x² – xy+ 2y² = 8 Find an expression for y' in terms of x and y.

A:

Q: 6. Determine whether the graph of y = 3 x³ - x is symmetric with respect to the x-axis, the y-axis,…

A:

Q: Test the graph of y = 2x3 − x for symmetry with respect to (a) the y-axis and (b) the origin

A: Given curve:

Q: 1. Consider the graph of y= f(x).

A: By graph we can see that f(x) is below x-axis when x is belongs to (6, 12).

Q: The slope of the secant of the graph of y=3x - 2x2 through the points at which x = -1 and x = 2 is…

A: Given : y = 3x - 2x² and points x = 1 and x = 2 The correct answer for this question is option (3).

Q: Q13) Use shifting graph to sketch a) y = b) y = -1+ 5sin (2x)

A: According to our guidelines we can answer only three subparts, or first question and rest can be…

Q: orm f(x) = ar² + bx +c whose graph %3D

A:

Q: shown below. y = 4(x) %3D

A: Given query is to find the value of h(h(-2)).

Q: 4. Sketch the graph of y = |1 – x| – 1.

A:

Q: 3. Briefly describe the characteristics of the graph of y = f(x) that can be deduced from each of…

A:

Q: Which points on the graph of y = 4 – x- are closest to the point (0, 2)? and (글, ) V6 5 (2, 0) and…

A: As per given by the question,  Graph of the equation is y=4-x2. The given point is 0, 2. Here,…

Q: Sketch the graph of the curve y = (x + 2) (2x - 3)² on the axes below. Include the coordinates of…

A:

Q: How does the value of a affect the graph of y = ax? Discuss the case for a 1 and for 0 s a s 1.

A: When a >=1  Graph will shrink towards y axis that is value of y increases more rapidly When 0…

Q: ketch the graph of T3.

A: Given the problem deal with the following function                    f(x)=2xif 0≤x≤122-2xif…

Q: Find a function whose graph is the given curve. The top half of the circle x2 + y2 = 9

A: Given  The top half of the circle x2+y2=9 To find a function whose graph is the given curve. The…

Q: If f(x) = ax4 + bx³ + cx2 + dx + e, determine a, b, c, d and e so that the graph of f will have a…

A:

Q: Consider the graph of y = f(x), shown below. 4

A: Given that: Graph of f(x)

Q: Is the graph of g(x)=4x^3+9x^2+7x+3 concave up or down at the point with x-coordinate −2?

A:

Q: Use the graph of 5 x %3D x² + 4 to approximate the values of x that satisfy y > 1.

A: