Question 3 Consider the function f: R R,ƒ(x)=x'+bx² +cx+d, where b,c,de R. The graph of the function f crosses the x-axis at three distinct points and has two stationary points as shown in the diagram below. a. The function has a maximum turning point at P(p, f (p)) and a minimum turning point -b+ Vb? – 3c at Q(q,f(9)), where q> p and q<0. Show that q =. 3 and find a similar expression for p in terms of b and c, stating restrictions on b and c.

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Q: 3. Let f(x)=x2+kx and g(x)=x+k . The graphs of f and g intersect at two distinct points. Find the…

A: Simple graph intersecting problem....

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A: The function of the form f(x)=ax2+bx+c,a≠0  is a quadratic equation of first degree. The terms a, b…

Q: 1. Given the function S(a) = Find (a) all the a and y-intercepts,

A: The solution is given below in the next step: Also in step 3 graph is provided for better…

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Q: Determine the domain 1 1.) f(x) z+5 2.) g(z) = Vz+5 3.) p(z) 2– 6x

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other…

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A: Sketch the given function

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A: Using the given graph of y=f(x) : We are to graph the function g: gx=12f(2x)

Q: 1.) Given the function f(x,y)= 2+y=x² find and sketch the domain of f.

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Q: If the point (1,4) lies on the graph of y = f(x), then the y-coordinate of the corresponding point…

A: Given that (1, 4) lies on the graph y = f(x)  Therefore f(1)= 4  Transformations of this graph is y…

Q: Use the given graph of y = f(x) to graph the function g : g(x) = - 1/2f(x - 2) + 2

A: Given: Graph of y=f(x) To determine: Graph of g(x)=-12f(x-2)+2

Q: Example: find the extreme values of the function f(x, y) = xy – x² - y² – 2x – 2y + 4

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Q: F(X) = 2x,x,X3 - 4x,x3- 2x,X3 + x,2+x,2+x3? – 2x, – 4x2 +4x3

A: Topic:- Differentiation

Q: 69. f(x) Vх — 4 3.

A: The domain of function is the set of input or argument values for which the function is real and…

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A: g(x) = f(x) + 1 Using the graph of y we need to draw the graph of g(x).

Q: Sketch the graph of the function. f(x, y) = 9x²9y² X Z Z y y X₂ X₂ N Z y y

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Q: y = x² – 2.r + 5

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