Consider the graph of   y = -⅓x3 – x2 + 3 .   Find the interval(s) on which the graph is concave up. Find the interval(s) on which the graph is concave down. Find any points of inflection. Graph the function.

Q: The y- intercept of the function f (x) = 6x2 + 11x – 7 is: elect one: O a. (7,0) O b. (0,-7) O c.…

A: Explanation and solutions is given below.....

Q: For the function y=x-1, graph the points with the domain of {0,4,6,8,9}

A: Domain: Set of values of x or independent variable for which the value of y or dependent variable…

Q: Use the graph of y = f (x) below to graph the function y = -3f (x – 3).

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Q: 2 The path of the fireworks shot off in Milwaukee on 4" of July can be modeled by the function: h(t)…

A: The modeled function of the height of the firework is ht=-16t2+100t+3

Q: Find the slope of f(x) = -2x² + 2x + 3 at (2, – 1). Use a graphing utility and round to the nearest…

A: Consider the provided function and the point, fx=-2x2+2x+3   at 2,-1 Find the slope of the function.…

Q: neath the graph of f(x) = 7x³ about the y-axis ov

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Q: Find the slope of the graph of the function f(x)=(-5x – 4)² at x = 3. a. f'(x)=-38 b. f'(x)=95 c.…

A: We need to find the slope of given function at x=3

Q: 5. For the function, y = x² - 4x + 4, complete the table then graph. -2 -1 4 3. 2.

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Q: Use the graph of y = f(x) to sketch the graph of f'(æ). 10+ 7+ 6+ 5- 4+ 3+ 2-

A: In this question we will use basic of calculus i.e differentiation and sketching of curve. We will…

Q: Q3: Sketch the function y 2 . and sketch the graph of y 2 *- 5

A: Graph of the function

Q: Suppose that the x intercepts of the graph of y=f(x) are -5 and 3. What are the x intercepts of the…

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Q: 3 Find and sketch the graph of the domain of f (x, y)= 14x? +16у? - 64

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Q: For f(x) = −x2 + 8x − 4, the value of −b/2a is 4. Find the y-coordinate of the vertex of the graph…

A: Definition used:The vertex of a graph is the maximum or minimum point of a parabola.The x value of…

Q: 6. For the function, y=x² - 4x - 5, complete the table then graph. -2 -1 1 4 2 10 -8 6 -4 -2 2468 10…

A: the equation given to us is  y=x2-4x-5

Q: D) The x-intercept of the graph of f is -4.

A: Given that: The two points ( - 4, 0 ) and ( 2, - 8 ).

Q: Q4: Find The Range of the Function. -1<x<3

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Q: The path of Morgan's dive off of a 3 foot diving board is shown by the function: h(x) = – a² + 2x +…

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Q: Q6:- Find the extreme value of the function f(x, y) = 3x2 - 2xy + y2 - 8y.

A: First, let us find the partial derivatives of the given function as shown below:…

Q: Graph the function. 2, for x 3 f(x) ={-9 for x+3 Choose the correct graph below. OA. OB. OC. OD.

A: the given function is f(x) =2for x=3x2-9x-3for x≠3 f(x)= 2x=3x+3x≠3 y = x+3 -x +y =3 x-3+y3=1

Q: line to the graph of y = f(x) at a = 5.

A: Given: -The equation of the tangent line to the curve y = f(x) at the point where a=5 is y=9x-4. To…

Q: what are the t-intercepts of the function P(t)=6t-2/2t^2-6t?  what is the domain of the function in…

A: We can make it easier for you

Q: Use the graph of the function f(x) = 0.5x +1 to find the value of y when x = 4. *

A: Given :            f(x) =0.5x + 1        Let y = f(x) = 0.5x + 1 ...(1)    To find:…

Q: Suppose that the x-values of the x-intercepts of the graph of y = f(x) are -6 and 5. What are the…

A: Add 3 in the x, We get (x+3) Shift the graph to the left by 3 unit.

Q: Graph the function for the given domain. y =x2-2 D-2-1,0,1, 2)

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Q: Which function would result from stretching y = {x) vertically by a factor of 3 and then vertically…

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Q: nd the vertex and axis of symmetry of the graph of the function. =x + 8x + 7 A. (-4,9); x= - 4 B.…

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Q: xª +2x2 +7 Find the intervals of increase or decrease of f (x) = -:

A: For function to be increasing f'(x)&gt;0 and for the function to be decreasing f'(x)&lt;0.

Q: On the axes below, sketch a possible function p(x) = (x-a)(x-b)(x+ c), where a, b, and c are…

A: This is a graph problem

Q: Given the function P(x) = (x – 3)(x + 3), find its y-intercept is its x-intercepts are æ1 = -3 and…

A: NOTE: Refresh your page if you can't see any equations. . to find the y-intercept take x=0 so…

Q: For what numbers x, - 4xsxs0, does the graph of y = 9 csc x have vertical asymptotes? Choose the…

A: This question is based on asypmtotes.

Q: Use the graph of y = 3x to graph the function. f (x) = 3x + 5 + 2

A: y=3x

Q: x²+7x Consider the graph of the function f (x) = x3 –5x²–14x' Where is the removable discontinuity?…

A: We will factor both numerator and denominator

Q: For this question, enter answers as ordered pairs. Given the function P(n) = 2n + 2n³ – 84n? its…

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Q: Write the equation for the final transformed graph. f(x) = x2; stretch vertically by a factor of 4,…

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Q: For f(x) = −x2 + 8x − 2, the value of −b/2a is 4. Find the y-coordinate of the vertex of the graph…

A: Solve the following

Q: c) Determine where the graph of f (x) = x³ + x² – 5x – 5 is concave up and concave - down and…

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Q: Which is the asymptote of the function f(x)= a? О хахis The positive x-axis The negative x-axis…

A: Answer is given in next step.

Q: For what values of x does the graph of f(x) = x3 + 5x2 + x + 19 have a horizontal tangent? (Enter…

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Q: At x=3 the function, in the graph below, is -2 +234 2. A. Continuious and differentable B. Not…

A: We have to check continuity and differentiability of graph at x=3

Q: Compare the graph of f(x) and the table of values from the function g(x). Which has the greatest…

A: Given : Data regarding two functions  F(x) --&gt;  graph is given G(x) --&gt;  table with values are…

Q: Use the graph of y = f(x) to sketch the graph of f'(x). 10+

A: The given graph is:

Q: The y– intercept of the function f (x) = 6x² + 11x – 7 is : Select one: O a. ( 7,0) O b. (0, -7) O…

A: The intercepts of a given function are points at which the graph crosses the axes. The x-intercept…

Q: Use the graph of y=f(x) to graph the given function. 4 y = f(x) -3 -2 -2- -3 -4- y=f(-x) 4. 3- 2-

A: Please see the below picture for detailed solution.

Q: t4 – 3t3 - What types of discontinuities does the function h(t) have? 3t – 1 -

A: Given function is  h(t) =( t^4-3t^3)/(3t-1)  We have to find the type of discontinuity .

Q: 6. Determine the x-intercept(s) and the y-intercept of the function f: R R, f(r) = 3x-2 and sketch…

A: See the attachment

Q: Given the function P(x) = x(x - 4)(x + 8), find its y-intercept: its x-intercepts: When x → ∞, y →…

A: We can make it easier for you

Q: Find the value of x for which the line tangent to the graph of f(x)-7x2+4x-14 is parallel to the…

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Q: Q4/A. Draw the graph, of the functions determined by the given formula y = V4 -x

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Q: Use the x-intercepts to find the intervals on which the graph of f is above and below the x-axis.…

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Q: 5. Find the range of the function y = 7x -1 when the domain is {-1, 0, 1}

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Q: Determine the intercepts of the graph of f(x) = -4x - and 0, 16 (3,0) and 0, and 0, 16 0 and 0, 16 O…

A: Please refer the attached image for complete solution.THANK YOU.

Q: Q3: Sketch the function y = 2* , and sketch the graph of y = 2-* - 5

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Q: א b. S(x)- x² - 4 2

A: Use second derivative test

Q: Draw the graph of the function y = 3x2 +1

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