Graph the equation f(x) = lxl and g(x) = 1/2 lx + 1l - 2 in a rectangular coordinate system. If two functions are indicated, graph both in the same system. Then use your graphs to identify each relation’s domain and range.

Q: sketch the graphof the function.y = 3x−1

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Q: The height of a projectile fired vertically into the air (neglecting air resistance) at an initial…

A: The height of projectile f(x) in feet is given by f(x)=96x-16x2, where x is time in seconds. The…

Q: Use the graph of f(x) = x2 to write an equation for the function represented by (a) y -2 -2

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Q: Graph f (x) = 3x. Where should the graphs of f (x) = 3x + 2, f (x) = 3x - 3, and f (x) = 3x - 7 be…

A: Consider the given: fx=3xfx=3x+2   Shift 3x up to 2 unitsfx=3x−3   Shift 3x down to 3 unitsfx=3x−7…

Q: Graph the equation f(x) = x2 - 1, x ≥ 0, and f -1 in a rectangular coordinate system. If two…

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Q: Determine whether the equation defines y as a function of x : 4x = y2

A: For x=1,

Q: Graph the equation f(x) =(x - 1)/(x - 2) in a rectangular coordinate system. If two functions are…

A: Given

Q: Use the graph of f(x) = x2 to write an equation for the function represented by the graph.

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Q: tes, a submarine had descended to −400 feet. After 7 minutes, the submarine had descended to −440…

A: It is given that,  After 3 minutes, a submarine had descended to −400 feet.  Let point A(3.-400)…

Q: Write a relationship for a function whose f(x) values are 3 more than the principal square root of x

A: The principal square root of x=x 3 more than the principal square root of x=3+x Hence, The function…

Q: Write an equation for the graph above. f(x) = %3D

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Q: Give the equation for the function whose graph appears above. Use f(x) as the output.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Graph the equation f(x) = x3 - 1 and f -1 in a rectangular coordinate system. If two functions are…

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Q: What is the slope of the graph of f (x) when x = 1?

A: Given: Function f(x).

Q: The y-intercept of the function is

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Q: Determine whether the equation defines y as a function of x : lxl - y = 5

A: Given that: The  function   x - y = 5

Q: Use the graph of f(x) = x3 to write an equation for the function

A: the graph f(x) reflected over the y-axis and then moved 2 units left and 2 units down.  So new…

Q: Find the relative extrema of the function. f(x) = 100xe2x

A: The given function is fx=100xe0.02x. To determine the relative extrema of the above function, first…

Q: a young person should sleep 8 hours plus 1/4 hour for each year the person is under 18 years of age.…

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Q: 1-x 4. Determine if the equation y=- is a x² -2x function

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Q: Find the points of intersection of the graphs of the functions y = x2 + 1 and y = 4x

A: Given functions:                     y = x2+1   ... (1)                     y = 4x      ... (2)

Q: Find the slope of the graph of the function at a given value. f(x) = -3x2 + 8x - 6/x2 when x = 5.

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Q: Enter the equation of the function, g(x), whose graph is the result of f(x) = √√x shifted right 6…

A: Please see the below picture for detailed solution.

Q: Graph f (x) = 2x. Where should the graphs of f (x) = 2x-5, f (x) = 2x-7, and f (x) = 2x+5 be…

A: The given functions are,f(x)=2x , f(x)=2x-5 , f(x)=2x-7 and f(x)=2x+5

Q: A group of 6 students is surveying their classmates to get feedback about the different clubs…

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Q: How do you prove step by step that this equation: y=2x+1 is a function?

A: The solution are next step

Q: Find the graph of the equation. f (x) = | x – 2||

A: The function is given by f(x) = |x-2|

Q: What does it mean for a function to be defined implicitly by an equation?

A: An implicitly defined function is a function that is presented as the solution of some equation or…

Q: A farmer wishes to fence the perimeter of a rectangular lot with an area of 1600 square feet. if the…

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Q: Graph the equation f(x) = x3 - 1 and f -1 in a rectangular coordinate system. If two functions are…

A: Given function is fx=x3-1. Obtain the inverse. y=x3-1y+1=x3y+113=xf-1=x+113

Q: Find the slope of the graph of the function at the given point. f(x) = V8 - x3, (-2, 4) f'(-2) =

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Q: According to an experimental study, the lifespan of a hamster is a function of the time the hamster…

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Q: Find the points on the graph of the function that are closest to the given point f(x) = x2 – 7, (0,…

A: Consider the provided function, fx=x2-7,   0,-5 The distance formula is D=x2-x12-y2-y12 . We can…

Q: In the given equation , sketch the graph of the function   y = 3- lxl

A: A function is a relation which maps each element in its domain to exactly one value in its range.…

Q: The Abdul family is comparing the costs of two different high-speed Internet services. With plan A,…

A: The cost of Plan A is given by  f(x)=50x+199 The cost of Plan B is given by  g(x)=90x+50 where x is…

Q: 5 4 3 1 -5 -4 -3 -2 1 3 4 -1 -2 -3 -4 -5

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Q: Graph the following equations and explain why they are not graphsof functions of x. y2 = x2

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Q: In 1990, the population of Bend, Oregon was 722. In 2000, the population had grown to 977.  Using…

A: Let us denote t= years after 1990  So, 1990 means t=0 and 2000 means t=2000-1990=10 So the…

Q: The number of people afflicted with the common cold in the winter months dropped steadily by 25 each…

A: As ‘C’ denotes the number of people afflicted with common cold and let ‘t’ be the years after 2002…

Q: Sketch the curve. Show your solutions. f(x) = x4 - 6x2

A: Consider the given: fx=x4−6x2Apply exponent rule:     ab+c=abacfx=x2x2−6x2Factor out common term…

Q: Find the slope of the graph of the function at the given value. f(x) = 4x+ 8. when x = 5 %3D

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Q: Determine whether the equation defines y as a function of x :  lxl - y = 2

A: Vertical line test: Vertical line is use to check graph is graph of function or not. Vertical line…

Q: Determine whether the equation 2x + y2 = 6 defines y as a function of x.

A: We have to determine whether the equation 2x+y2=6 defines y as a function of x . We know that for y…

Q: Graph the equation f(x) = x2 and g(x) = -(x - 1)2 + 4 in a rectangular coordinate system. If two…

A: Given functions are fx=x2 and gx=-x-12+4.

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x2, (0, 4)…

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Q: Determine where the given function is increasing and where it is decreasing  45x3  -3x5

A: A function is increasing if f'(x) > 0 and decreasing if f'(x) < 0.

Q: The length of a rectangle is 3 inches more than the width. Which of the following represents the…

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Q: A camera is accidentally dropped from a helicopter at a height of 4,096 ft. If the equation for…

A: Given: To Find:  How many seconds will it take for the camera to hit the ground?

Q: Write an equation for a linear function whose graph has the given characteristics. Passes through…

A: Given query is to find equation of the line.

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.