Write a function g whose graph represents a vertical stretch by a factor of 2 followed by a translation 1 unit up of the graph of f(x) =x.

Q: Sketch a graph of f. f(x) = (x- 4)? – 8 Use the graphing tool to graph the function. Click to…

A: Given is  f(x) =(x-4)^2 -8

Q: Use transformations to graph the function. f(x)=-4|x-1| +3

A: Given  f(x)=-4x is basic graphf(x)=-4x-1 shift right for one unitf(x)=-4x-1+3  shift up 3 units…

Q: Use a graphing utility to construct a table of values for the function f(x) = 2ex−2 + 4 . Then…

A: Given:  Use a graphing utility to construct a table of values for the function f(x) = 2ex−2 + 4 .…

Q: Let the graph below represent the function fx). a. For what values of x is f'(x) = 0? b. Describe…

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Q: Describe a function g(x)g(x) in terms of f(x)f(x) if the graph of gg is obtained by vertically…

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Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

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Q: Sketch the graph of the function. f(x, y) = 6 − x2 − y2

A: this forma a circle

Q: Use transformations of the graph of f(x)=x° to determine the graph of the given function. g(x) = (x-…

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Q: Use graphing utility to construct a table of values for the function. f(x) = 10x %3D -2 -1 1 f(x)

A: topic - functions

Q: Using the graphs of the functions f and g below, determine the following. If infinite, specify…

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Q: Describe how 1 g(x) = = -f(x) f(x) transforms the graph of the parent function f(x).

A: Given :   Therefore g(x) is reflected.

Q: Evaluate the indicated function for f(x) = x - 1 and g(x) = x – 2 algebraically. If possible, use a…

A: Given query is to find the value of indicated function

Q: Graph the function f(x) = (x+5)-4 by starting with the graph of y=x2 and using transformations…

A: The graph of y = x2 is given below

Q: Use transformations on the graph of y = f(x) = 8 to graph g(x) = 8 *. ... Use the graphing tool to…

A: Solution: Given data, y= 8x g(X)=8-x

Q: Sketch the graph of each function and state the domain and range. f(x)%=[x]+2 for 07 The range of…

A: Explanation of the answer is as follows

Q: -4, x 2

A:

Q: Use transformations of the graph of f(x) = x to determine the graph of the given function. g(x) =…

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Q: Use transformations of the graph of f(x) = x° to determine the graph of the given function. 10- h(x)…

A: Solve the following

Q: Graph the function f by starting with the graph of y = x2 and using transformations (shifting,…

A: To graph the function fx=x-32-10 using transformation of the graph of the function y=x2. Solution:…

Q: Discuss the symmetry of the graph of each function and determine whether the function is even, odd,…

A: To Determine: discuss the symmetry of the graph and determine whether the function is odd or even or…

Q: Use symmetry, extrema, and zeros to sketch the graph of f. How do the functions f and g differ? f(x)…

A: Given information: fx=x5-4x3+3xx2-1 gx=xx2-3

Q: graph the function.  compare the graph to the graph of f(x)=x2

A: To make graph first we check concavity, convexity, increasing, decreasing, maxima, minima

Q: Discuss the symmetry of the graph of each function and determine whether the function is even, odd,…

A: Solve

Q: Sketch a graph of the function. Given the piecewise definition f(x)={2x-3 if x ≤ 0 {-2x-4 if x >0…

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Q: Determine whether the graph of the following function has symmetry about the x-axis, the y-axis, or…

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Q: The functions f(x) = 3-x and g(x) = -3x have the same graph.Determine whether the statement is true…

A: Consider the given function fx=3-x and gx=-3x

Q: Consider the function. f(x) = x + Use the graphing utility to graph f. f(x) = y + 20 10 -10 10 -10…

A: Given : f(x) = x + 5/x

Q: Consider the following graph. Part A. Write the functions as piecewise-defined functions. f(x) g(x)…

A: as we can see in the graph, it forms a mod function i.e y=|x|. Now for a function of f(x), we can…

Q: Identify the parent function f(x) of g(x) = 2|x + 2| – 3. Describe how the graphs of g(x) and f(x)…

A: Given the function f(x) and g(x) as:

Q: On a piece of graph paper, draw the graph of the function y equals negative 1 half x space plus…

A: The given function is y is negative one half of x and plus 1.That is y = -x/2 + 1.

Q: Write a function g whose graph represents a vertical stretch by a factor of 5 of the graph of f (x)…

A: Given,          A function g whose graph represents a vertical stretch by a factor of 5 of the graph…

Q: Use transformations on the graph of y = f(x) = 9* to graph g(x) =9*. Use the graphing tool to graph…

A: To Determine:  use transformation on the graph of y=f(x)=9x to graph y=f(x)=9-x. Given: we have two…

Q: f(x)=-x^3+1

A: Given, f(x)=-x^3+1

Q: Graph the function f by starting with the graph of y = x2 and using transformations (shifting,…

A: Here the given equation of the graph f(x)=2x2-4x+1  we have to graph the function f by starting with…

Q: b) y= x(x-2)(x+1), y X

A: We have to find out

Q: Use transformations of the graph of f(x) = x to determine the graph of the given function. h(x) = -…

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Q: Graph the function f by starting with the graph of y = x2 and using transformations (shifting,…

A: Given function, fx=3x2+6x

Q: Describe a function g(x) in terms of f(x) if the graph of g is obtained by reflecting the graph of f…

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Q: a) y = (x + 1)(x-1)(x + 2), y X

A: Graph of the y=(x+1)(x-1)(x+2) is shown below

Q: Evaluate f(- 3) where f(z) is the piecewise function graphed below.

A:

Q: Graph the function f by starting with the graph of y = x2 and using transformations (shifting,…

A: Consider the function, f(x)=x2-6x+2 by completing the square, the given function can be written as…

Q: The graph of a function g (x) is: Make the graph that corresponds to the function g(−x) + 2

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Q: Consider the function. 5 f(x) = x + Use the graphing utility to graph f. f(x) = y 20 10- -10 10 --10…

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Q: 3- Let consider the function y=x-lx-1l-Ix-21 write this functionas a piecewise function and then…

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Q: Make a complete graph of the function f (x) = V7 – 2. Fully describe the graph.

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Q: Use transformations of f(x) = x? to graph the following function. g(x) = x2 +3 Use the graphing tool…

A: The given function is:fx=x2

Q: Describe a function g(x) in terms of f(x) if the graph of g is obtained by reflecting the graph of f…

A: When the graph of function f(x) is reflected about x-axis, then the function is transformed by f(-x)…

Q: Sketch the graph of piece-wise defined function 5x + 3, x -3 Sketch the graph h(x) = x+ 3|+5 and…

A: Consider the function  f(x)=5x+3,       x≤−3x2−6,      x>−3

Q: c) y = x(x + 2)(x-1)² y

A:

Q: Follow the graphing strategy and analyze the function f(x)= 3x -10x State all the pertinent…

A: to draw the graph of  f(x) =3 x5-10x3 so find the maxima minima points and by finding X and Y…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.