In the given function, point P (1 ,1) is a point on the graph of the function. f (x) =x³-3x2 +3x Which of the following is true about P ? O A. P is an inflection point B. P is both maximum and minimum. OC.P is a maximum point O D. P is a minimum point

Q: . The graph of the function f(x) = ax2 + bx + c has vertexat 10, 22 and passes through the point 11,…

A: We have  fx=ax2+bx+c To find the vertex of the quadratic equation, differentiate it and equate it to…

Q: If f(x) = 2x2 + 5 and g(x) = 3x + a, find a so that the graph of f ∘ g crosses the y-axis at 23.

A: fx=2x2+5  &  gx=3x+a Now, f∘gx=fgx=f3x+a=23x+a2+5

Q: 3. graph the ratlonai functiong f(x) = 7x+3_

A:

Q: Given the following function: f(x) =-x² + 2x a) identify whether a maximum or minimum exists, b)…

A:

Q: P2- Graph the fellowing functions. 4ー× xS f cx) 2 2 a- X + 2X メ>! Xく。 gcx) = b-

A:

Q: Use a graphing calculator to graph f (x) = -x³ + 2x? + 6x + 8 and find the following features of the…

A: Consider the given equation is, -x3+2x2+6x+8 The graph of the given equation is shown in Figure…

Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

A: Given that, gx=9-x2, -2≤x≤3 The absolute maximum or minimum of any function occurs at its critical…

Q: 8. O f(x) = 3x° – 5x³ + 1

A:

Q: Consider the function p(x) = 3x +x - 5x and the graph of y = m(x) below.

A: In the question it is asked to calculate the roots of p(x)=3x3+x2-5x and the graph m(x) given in…

Q: Here is a graph of a quadratic function f. Select the equation that matches the function (2,0) (6,…

A: The vertex form of the parabola y = a(x - h)2 + kwhere (h,k) are the vertex.

Q: 1. Sketch the graph of the following Quadratic function f(x) = (x- 1)2 -4 and find the following (a)…

A: Given Quadratic Eqaution :  y= (x-1)2-4 Graph :

Q: The graph of the function f(x) = ax2 + bx + c has vertex at (1, 4) and passes through the point ( -…

A:

Q: 6. Dharma graphed the parent function f(x) = x and h(x) on the same grid. If h(x) is steeper than…

A: The function f(x)=x represents linear equation. So, the graph of f(x) should be a straight line. If…

Q: If f(x) = 2x2 + 5 and g(x) = 3x + a, find a so that the graph of f ∘ g crosses the y-axis at 23

A: f(x)=2x2+5g(x)=3x+a

Q: The graph of f (x) = x² is horizontally stretched by a factor of 2, and then shifted to the left 4…

A: Given, fx=x2

Q: 61. If f(x) = 2x² + 5 and g(x) = 3x + a, find a so that the graph of fo g crosses the y-axis at 23.

A: f(x)=2x2+5g(x)=3x+a

Q: Use a graph and technology to find any local maximaand/or minima of the function y = x2/x - 4.

A: Given : y=x2x-4 Graph the given equation using graphing calculator  Then we find out maxima or…

Q: Find the vertical asymptotes and the holes of the function g. x² – 3x g(x) = x2 4x + 3 -

A:

Q: Give the maximum possible number of turning points of the graph of the given function. f(x) = 3x* –…

A: Here we have to find the number of turning points for the given function.

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

A:

Q: The graph of the function f(x) =ax2 +bx +c has its vertex at (0,2) and passes through the point…

A: Given that a standard equation of parabola and its vertex and a point that is lie n this parabola.We…

Q: Find the maximum or minimum point of the function AND state whether it is a maximum or minimum. 5)…

A:

Q: The graph of the function f(x) = ax2 + bx + c has vertex at (0, 2) and passes through the point (1,…

A: The graph of the function f(x) = ax2 + bx + c has vertex at (0, 2) and passes through the point (1,…

Q: Find the local maximum of the function f(x), which is given in the graph below. 4. 3 1 -6 -5 -4 -3…

A:

Q: If exists, find the local maximum, minumum and inflection points of the function f(x)=…

A:

Q: P f(x) = (x2 – 4)² - 4)?

A: Given question is Given the function f, discuss its relative maximum and minimum points, the…

Q: Select the root(s) of the quadratic function f (x) = x2 + x - 6 -3 -2 -6 6 The y intercept point of…

A: We have to check

Q: Three functions are shown below. A: g(x) = -* 3 + 4 B: f(x) = (x + 2)(x + 6) C: h(x) Which statement…

A: Consider the graph of hx,x−intercepts = −4,0 and −2,0Downwards open.Hence, Equation of graph…

Q: The graph of g(x)=ax2g(x)=ax^2 opens downward and is narrower than the graph of f(x)=x2f(x)=x^2.…

A: Use the properties of leading coefficient of a polynomial and identify the value of a.

Q: Find the asymptotes of the functionf(x)=x/x+1.

A: Given function is

Q: snip

A: Function is the unique relation where each x is mapped to a unique y. It can be of many types,…

Q: If f(x) = kx' + x² – kx +2, find k such that the graph of f contains the point (2, 12).

A:

Q: Find the horizontal asymptote for the graph of f, if it exists. 5x2 + 1 3x – 1 (a) f(x) : (b) f(x) :…

A: (a) Consider the provided function, fx=3x-1x2-x-6 Find the horizontal asymptotes for the graph of…

Q: If f(x) = kx' + x² – kx + 2, find a number k such that the graph of f contains the point (2, 12).…

A: We have the given condition as   f(x)=kx3+x2-kx+2   We have to find the value of k  such that  f…

Q: 4. Given the function f(x) =- |x+21-3, indicate the maximum or minimum point for the graph of the…

A: Given f(x)=-|x+2|-3

Q: The function f(x) = 2x + 33x? – 60x + 8 has one local minimum and one local maximum. - This function…

A:

Q: Find the requested information for the function f(x) = -4x5 – 3x³ + 2x – 5. Degree: Leading…

A:

Q: If a function is defined as f(x)=Ax2+Bx+Cf(x)=Ax2+Bx+C, then the graph of the function is a parabola…

A: Given function is f(x)=Ax2+Bx+C          (1) Since f(x) is equation of parabola. We can write (1) as…

Q: The function f(x) = x+ – 2.4x? is graphed in the xy-plane as shown above. If k is a constant such…

A:

Q: Determine whether the function f(x) =-2x + 5x has a maximum or minimum at 5 he point where x=: 4

A: Maximum or minimum value

Q: Consider the function f(x) = x² – 4x – 2 Graph f(x) 10+ What is the vertex of f ? What is the…

A:

Q: Use the given graph of function f to solve: Write the equation of the vertical asymptote, or the…

A: A graph, we need to find the equation of vertical asymptote.

Q: Find the asymptotes of the functionf(x)=x(x−1)2.

A:

Q: Find the relative maxima and minima, if any, of h(t)=3-t^2/3 without using a graph.

A: To investigate the relative extrema of the given function using differentiation

Q: The following is a graph of f'(x). At which value of a does f(x) have a maximum? y=f(x) -5 -2

A: The derivative of a function has a great importance in determining the analytical nature of the…