The graph of f (x)3-x²-5x+6 has the point (2, -6) on it. O True O False

Q: The graph of the function f(x) = 3x – x* + 5x? – 2x – 7 will behave like the graph of for large…

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Q: Find the absolute extreme values of the function on the interval. g(x) = -x 2+ 11x - 30, 5sxs6 %3D

A: Consider the function  g(x)=−x2+11x−30        ,5≤x≤6

Q: The graph of f(x)=-x -5x+6 has the point (2, -6) on it. O True O False

A: We can check the answer is true or false as below

Q: 2. Find the zeros of f(x)=x² -x-12.

A:

Q: Find a so that the point (-1,2) is on the graph of f(x)= ax2 + 4.

A:

Q: 5 -6pi 6p -5

A: From the graph, it is clear that the graph is a sine graph because, at x = 0, the sine value is…

Q: The function f(x) = 2x²-3x+ k has a minimum -Find the value of k. 8. value of-

A: The function fx=2x2-3x+k has a minimum value 78. We have to find the value of k.

Q: 21. If (-4,5) is located on the graph of f and g(x) = 3f(2x)- 1, what point is guaranteed to be on…

A: Given (-4,5) is located on the graph of f and g(x)= 3f(2x)-1  We want to find the guaranted point on…

Q: The graph of the function f(x) = 3x4 - x3 + 5x2 - 2x - 7 resembles the graph of ________ for large…

A: The graph of the function f(x) = 3x4 - x3 + 5x2 - 2x - 7resembles the graph of ________ for large…

Q: 4. If f(x) = ax³ + bx², determine a and b so that the graph of f will have a point of inflection at…

A: If fx=ax3+bx2, then to determine a and b so that the graph of f will have a point of inflection at…

Q: 6. Determine the vertex and the axis of symmetry for f(x) = 3x2 – 5x + 12

A: We have given a quadratic function.  We have to find the vertex and line of symmetry

Q: Find the X value of the pints of inflection on F(x) = X3-6X2+12X and discuss the concavity of the…

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Q: Use the Leading Coefficient Test to determine the end behavior of the graph of f(x) = x4 - 4x2.

A: The given function is Here, degree(the highest power) of the polynomial is 4 and leading…

Q: Is x =0 in the domain of gex)- x-4x

A: Yes,x=0 in the domain of g(x) Here is detailed proof is given.

Q: Sketch the graph of f(x) = Vx - 3 + 4.

A: Given: fx=x-3+4 . Here, the given function is defined only x≥3. The different values of y for x≥3…

Q: The graph of f(x)=-x-5x+6 has the point (2, -6) on it. O True O Fals

A: Ans: False

Q: Sketch the graph of f (x) = 1/2x2 - 4x + 7.

A: fx=12x2-4x+7

Q: Additional points of  f(x)=x2_2x-8

A:

Q: The graph of f(x) = x³ + 6x² + 7x has a point of inflection at r = -5 -2 1 -1 O 3

A: Consider the following function: fx=x3+6x2+7x Differentiate fx with respect to x:…

Q: Suppose that f(x) = x2 + 2x - 8.(a) What is the vertex of f?(b) What are the x-intercepts of the…

A: (a) Given function is: fx=x2+2x-8 Let y = f(x) Then we get,…

Q: 19. Determine the end behavior of the graph of f(x) = 3x4 + 2x - 5

A:

Q: Use the graph of f(x) = lxl to obtain the graph of g(x) = lxl - 4.

A: Given function is fx=x. To transform gx=x-4 from the graph of fx=x. Since the graph of g has -4,…

Q: If f (x) =ax³+ bx² , determine a & b so that the graph of f will have a point of inflection at (1,2)

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Q: Suppose that the​ x-intercepts of the graph of y=​f(x) are −7 and −4.

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Q: Use desmos to find the vertex for f (x) = x² – 6x + 13. -

A: Given :- f(x)=x2-6x+13 To find:- use desmos to find vertex

Q: Use the Leading Coefficient Test to determine the end behavior of the graph of f (x) = -2a2² (x –…

A: given f(x)=-2x2x-32x+5

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: Find the domain of the function g(x) =3/(x2 - 2x - 15)

A: The given function is gx=3x2-2x-15.

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

A: Given: fx=3x, gx=3x-1 for drawing graph of given gx, first we simplify gx so, gx=3x-1=3x.3-1=3x3

Q: 5. Find the value of the function: If f(x) = 3x + 2x 3, find(-3). f(-3) =

A: We have to find the value of the given function at x = -3.

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

A:

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

A: First list some coordinates for the given relation as shown in below table.

Q: Find the domain of the function: g(x) = (3x + 2) / x2 - 2x - 3

A: gx=3x+2x2-2x-3 The domain of given function is the set of all values of x for which denominator is…

Q: Find a so that the point ( - 1, 2) is on the graph of f(x) = ax2 + 4.

A: We have to find a so that the point -1, 2 is lying on the graph of function fx=ax2+4. Since point…

Q: The function f(x) = -(x + 3)² - 4 has a vertex of (-3, -4).

A:

Q: What are the x-intercepts of the graph of, f

A: f(x) = x2 + 4x -21 When we try to plot it on a X-Y plane, we write y = x2 + 4x -21 When we are asked…

Q: What is the vertex of the the function f (x)=2 |x-3|+7

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Q: x²+ 3x 3. f(x) = x²-x-6

A: Let's find.

Q: Use the graph of f(x) = 2x² – 5v2x + 3 to sketch the graph of f (x) – 3.

A: It is given that the function fx=2x2-52x+3. We have to use the graph of the function fx to sketch…

Q: Find x-intercept(s) of the graph of function g(x)=/3x+7-1.

A: gx=3x+7-1

Q: Find the domain of the function : g(x) = 3/(x2 - 2x - 15)

A: Given: gx=3x2-2x-15 we know that for any given rational functionfx=pxqx domain is denominator is not…

Q: On what interval is f(x) = x³ + 3x² – 24x +7 decreasing? The graph is decreasing on the interval

A: Use first order derivative test to obtain the interval of decrease.…

Q: 3. Find the value of the function: If f(x) = 3x - 4x2 + 3x +4, find f(-3). %3D f(-3) =

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Q: Find the points of inflection and discuss the concavity of the graph of the function. f(x) = x3 −…

A: Consider the following function: fx=x3-9x2+24x-18 Differentiate fx with respect to x:…

Q: Use the leading Coefficient Test to determine the end behavior of the graph of f(x) = x4 - 4x2.

A: Given: The equation of the graph is: f(x)=x4-4x2 We have to use the leading Coefficient Test to…

Q: The graph of f (x)3-x-5x+6 has the point (1, 0) on it. O True O False

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Q: What is the degree of the function g(x)=-2x (2x-1)(x+1)*

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Q: True or False The y-coordinate of the vertex of f(x) = - x2 + 4x + 5 is f(2).

A: Given function is fx=-x2+4x+5fx=-x2-4x-5fx=-x2-4x+4-9fx=-x2-4x+4+9fx=-x-22+9

Q: The zeros of the function f(x)=x'-9x are 1) 9, only 2) 0 and 9 3) 0 and 3, only 4) -3, 0, and 3

A: