f(x) = x2 + 8x + 15 (a) Express f in standard form. (b) Find the vertex and x- and y-intercepts of f. (If an answer does not exist, enter DNE.) (c) Sketch a graph of f. (d) Find the domain and range of f. (Enter your answers using interval notation.)

Q: Find the domain of the function. (Enter your answer using interval notation.) g(x): 4x2 + 3x - 1

A:

Q: Use the graph of f(x) = 2x to obtain the graph of g(x) = 2x - 3.

A: Given

Q: Find the domain of the function. (Enter your answer using interval notation.) g(x) = 9x2 + 8x 1

A:

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

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

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Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

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Q: Express f(x)= x2 +4x + 1 in standard form. Find thevertex of the graph and the maximum or minimum…

A: We will complete the square for f(x) Answer(a): Standard form: f(x)= (x+2)2 -3

Q: If f(x) = x3 - 2x - 5, find f(2) and f(3). Then explain why the continuous graph of f must cross the…

A: Given  The function is f(x) = x3 - 2x - 5 .

Q: Find the points on the graph for the function at the value f(x) = 3. x2 7x + 12

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Q: Sketch the graph of the curve f(x)=3x³ - 3x + 2

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Q: Find the domain of the function f(x) = V15x – 3. %3D - (Write the domain in interval notation.)

A: Given function is fx=15x-34. To find the domain of the function. Solution: We have function…

Q: Use the Leading Coefficient Test to determine the end behavior of the graph of f(x) = x* – 4x?.

A: To Determine: use the leading coefficient test to determine the end behaviour of the graph of f(x).…

Q: Let f(x)=4x-3. Sketch the graph of f and f-1 and find the rule of f 1,

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Q: 3x-x - Show that the function y= 1+x? odd or even.

A:

Q: 4. Sketch a graph of f(x) = x2 + 2x-3 and use the graph to solve: x2 + 2x-3 <0. Write your answer in…

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Q: Sketch the graph of f(x)= x2 + 1

A: Given Data The equation of the graph is fx=1x2+1.   The graph of the equation fx=1x2+1 is,

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: Sketch the graph of f.

A: f(x)=8-x32x2

Q: The graph of y = -f(x) is obtained from the graph of y = f(x) by reflecting in the__________ .

A: A vertical reflection reflects a graph vertically across the x-axis, while a horizontal reflection…

Q: Find f^-1 (x), if it exists, and graph both f(x) and f^-1 (x).  f(x)= 2x^3 -3

A: Topic  =Functions

Q: Sketch the graph of the function. (3x + 3, X ≤ -1 k(x) = 3x²-2, -1 1 y

A:

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

A: To determine: Graph of g(x)=3x+1 using the graph of f(x)=3x

Q: Write the equation of the vertical asymptote to the graph of f(x)=In(2x-4)2.

A:

Q: In the function:  f(x)= (9x^2)/ ((x^2)-49) Indicate the domain and range in interval notation.  What…

A: Denominator of the function can not be equal to 0.

Q: Find the domain of the function. (Enter your answer using interval notation.) g(x) 7x2 + 6x 1

A: NOTE: Refresh your page if you can't see any equations. . to find the undefined points, take…

Q: Find the x- and y-intercepts of f and sketch the graph. Approximation of graph will suffice. 1) f(x)…

A: For x-intercept : put y = 0 and For y-intercept : put x= 0

Q: Sketch the graph of f.

A: Given: fx=2x+12 For drawing graph of given function, we use graphing utility  So, graph of given…

Q: Sketch the graph of f(x) = 1/(x2+1)

A: The graph of f(x) = 1/(x2+1)

Q: Find the domain and asymptote. In interval notation. y=5/x-7

A: Given: -

Q: Determine the point(s) at which the graph of -7x f(x) = 2x - 1

A: Given function is: fx=-7x2x-1 Differentiating f(x) with respect to x we get,…

Q: State the equation of the oblique asymptote of the function g(x) = 4x² +5x+2 x + 2

A:

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: The axis of symmetry of the graph of f(x)=2(x+9)2-3 has equation...

A: Given,

Q: Sketch the graph of f(x) = −x2 + 6x − 8. Identify the vertex and x-intercepts.

A: Given, fx=-x2+6x-8

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: f(x)%3D2X-1

A: Given, f(x) = 2x-1

Q: a quadratic relation has zeros at -1 and 3, and a y-intercept of -18. Determine the equation of the…

A: We want quadratic  in vertex form. In the vertex form quadratic  equation  is of type y = a(x-h)2 +…

Q: SOLVE FOR ALL ASYMPTOTE  IF EXIST and graph f(x) = (x^3  -27)/(x^2-9)

A: The given function is fx=x3-27x2-9. Obtain the vertical asymptotes as follows: Take the denominator…

Q: Find the point on the graph of the function f that is closest to the point (a, b) by minimizing the…

A: According to the given information, it is required to find a point on the graph that is closest to…

Q: Let f(x)= 56-2) (x+1 What is the domain? b find all x-intercepts OFind y-intercept if it exists?

A:

Q: (a) By sketching the graph of the function f(x) = x³ + x² – 1, show that the equation f (x) = 0 has…

A: The root of the equation is 0.755 Also it is evident that it is lying between 0 and 1

Q: Sketch the graph of the function: (plot at least 4 points on the graph) -5x +2 ,x<0 F(x) = 1-x²-2 x…

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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: Sketch the graph of the function f(x) = x³ – 2x² – 5x + 6 using calculus – based analysis. -

A: Given problem:- Sketch the graph of the function f(x) = x3 – 2x2 − 5x + - 6 using calculus - based…

Q: Determine the domain and range of the quadratic function. f (x) = –4(x + 1)² – 5 Enter your answer…

A: Givenf(x)=-4(x+1)2-5

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: Sketch the graph of f.

A: Given, f(x)=3-x2

Q: Sketch the graph of f.

A: Given that

Q: Q3, sketch the graph of th function y= x-4x +3

A: Given y=x2-4x+3y=x2-4x+4-1y+1=x2-4x+4y+1=(x-2)2   Hence it is an upward facing parabola with vertex…

Q: The graph of f(x)=x^2 rises or falls to the left? And does it rise or fall to the right?

A: