State the domain and range, and draw the graph of the function by the given formula. ) f(x) = x – |x| x²-9 if x + 3 x-3 ii) h(x) = if x = 3

Q: Find all values of x such that f (x) > 0 and all x such that f (x) < 0, and sketch the graph…

A: Given, fx=x3-3x2-9x+27

Q: The function shown is graphed on a coordinate grid, where m, n, and p are real numbers f(x) = m * (x…

A: Given problem is : The function shown is graphed on a coordinate grid, where m, n, and p are real…

Q: Find the point of intersection of the graphs of f and g by solving f(x) = g(x). f(x) = 2* + 4 and…

A: Given query is to find the intersection of the Graph.

Q: Find all values of x such that f (x) > 0 and all x such that f (x) < 0, and sketch the graph…

A: fx=x3+2x2-4x-8 On simplification, we get ⇒fx=x2x+2-4x+2⇒fx=x+2x2-4⇒fx=x+2x2-22⇒fx=x+2x+2x-2…

Q: 3) Use the graph of f(x)-Сах to determine values for C and a -3 3

A: It is clear from graph that when x=0 , f(x)=3 , that is f(0)=3, using this , we can calculate C.

Q: Find the values of b such that the function has the given maximum or minimum value.f(x) = −x2 + bx −…

A: Given function is: fx=-x2+bx-75 Then we get, f'x=ddx-x2+bx-75⇒f'x=-2x+b Then the maximum or minimum…

Q: Find all values of x such that f(x) >0 and all x such that f(x) <0, and then sketch the graph of…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Given the graph of y = f(x) below, solve for f(x) = 3. Enter multiple values as a list separated by…

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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: Suppose that f(x) = x2 + 4x - 21.(a) What is the vertex of f?(b) What are the x-intercepts of the…

A: a. The vertex parabola lies at x=-b2a for the f(x) =ax2+bx+c vertex is at x…

Q: The quadratic function y = f(x) has the graph shown. 6+ 2 -6 -5 3 -2 2 3 -2 -6 Which of the…

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Q: The functionf and g are given by f (x) = 3e2x and g(x) = 2 In(5x +1)

A: f(x)=3e2x g(x)=2ln(5x+1) fog(x)=f(g(x))=f(2ln(5x+1)) =3e2.2ln(5x+1)

Q: When x is less than or equal to 2, what equation is shown in the graph? a. f(x) = | x - 1 | b. f(x)…

A: Given question:- When x is less than or equal to 2, what equation is shown in the graph.

Q: Find a formula for f (x). Identify the domain and range of f f(x)%3D5X-16

A:

Q: If f(4) = 19, then the point (4, is on the graph of f.

A:

Q: snip

A: Given function: fx=x2+2x-8

Q: If f(4) = – 2, then the point is on the graph - of f.

A: In the question we have to find point on graph.

Q: How many x-intercepts (solutions) would a function with the discriminant 7 4(5) (-4) have? O F 2 O G…

A: Since, discriminant is 72-4(5)(-4)=129Our Aim is to tell how many x-intercepts would a function have…

Q: Q2\ find the domain and range of the given function x2 + x f(x) = х3 — 9х2 2х

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Q: Solve the given function if it is odd or even а. f(x) 4x7 5x5 + 9х3 + Зx b. g(x) 6x6 2x4 8x? +9 %D -

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Q: Givenf(x) = x2 - 4, x ≥ 0,   a. Find an equation for f -1(x).  b. Graph f and f -1 in the same…

A: Given that f(x)=x2-4

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A: Please refer to the image below

Q: The equation f(x) = x³ – 9x has a root in the interval [3,5] о yes O no

A:

Q: g(x) = |x - 2|+ 2 2+2

A:

Q: What values of x would be found in the in the domain of function f(x)=10/x-2

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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: 83. Suppose that f(x) = x² + 4x – 21. (a) What is the vertex of f? (b) What are the x-intercepts of…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Graph the functions. Then find the extreme valuesof the function on the interval and say where they…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Use the function f(x)=x^2-4 and g(x)=2x+20 and answer part (a) below (a) Solve f(x)&gt;g(x) What is…

A: Given functions are,

Q: Suppose that f(x) = x ^ 2 + 4x - 21 (a) What is the vertex of f? (b) What are the x-intercepts of…

A: Vertex form of a quadratic function f(x) is given as below, f(x)=a(x-h)²+k and (h,k) is the vertex…

Q: The graph of f(x)3-x-5x+6 has the point (-8, 2) on it. O True O False

A:

Q: Use the function f(x)=x^2-4 and g(x)=2x+20 and answer part (a) below (a) Solve f(x)&gt;=1 What is…

A: (a) Solve for f (x) &gt; 1 as follows.Compute the correct answer in interval notation as follows.

Q: Given the graph of f(x), solve a) f(x) > 0 and b) f(x) 0. O A. 5sxs7 O B. x 7 O C. 5 7 O D. 5sxs7

A: According to the given graph the function is: f(x) = (x - 6)2 - 1

Q: Given the graphs of f(x), f'(x) and f"(x). Determine which is which. 1 2 3.

A: GIVEN

Q: The graph of f(x) is shown. At which of the point(s) is f '(x) > 0 and f "(x) 0 and f "(x) <0. If…

A: Solution :

Q: Find all values of x for which the garph of f lies above the graph of g.

A: The function f(x)=ax+b represents an equation with slope equal to a and y-intercept equal to b. The…

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: Suppose that F(x) = (1/3)x- 3. (a) What is F( - 5)? What point is on the graph of F?(b) If F(x) =…

A:

Q: Consider the function g(x) = x² + 4x – What is the vertex of g ? The x -intercept(s) of g is/are…

A: First, we will convert the given equation into the vertex form by completing the squares.

Q: Graph and give the qualities of: F(x)=-2cos(3/2(x-2pi/3))

A: To sketch the graph of the function.

Q: Given f-: x → x- 2 x*-1. x + 1 ' If f (k + 3) = 7, find the value of k. %3D

A:

Q: State domain and range of   f(x)=(x2+1)-1

A: Given:

Q: Find the natural domain and graph the functions(answer all points) f(x) = 1 – 2x – x²

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

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

A: Given   - The quadratic function fx =x2+2x-8 To find -  (a) the vertex of fx =x2+2x-8(b)…

Q: Find the locations and values of the absolute extrema, if they exist, for the function ƒ(x) = 3x4 -…

A: Maxima and minima: f(x)=3x4-4x3-12x2+2f'(x)=12x3-12x2-24xTo get maxima and minima f'(x)=0…

Q: Find the domain and the range and sketch the graph of the function 3x+ (a)G(x)= x+9 - 2x if x 3…

A: the domain is the set of values that a function can take and the range is the set of values that a…

Q: Find the value of b that gives the function the maximum value of 14. If there is mo f (x) = -x² +…

A:

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

A: WE can find the answer is true or not as below.

Q: 5. Find the maximum or minimum of the function, and state whether your answer is a maximum or…

A: