Write a function to model the scenario [y=a (x-h)2 + k]

Q: Sketch the graph of the function. (4 - x2, x < -2 h(x) = 5+ x, -2 <x < 0 %3D 2+1, x 2 0 y

A: Given : for x &lt; -2 it is parabola opens downward as  sign of x2 is negative: for [-2, 0) it is…

Q: In Exercise 4, find the domain and range of the function. 4. f(x, y) = √(36 − x^2 − y^2)

A: Consider the given function z = f(x, y) = √(36 − x^2 − y^2)

Q: y =-2Vx+5 + 3

A: For a function, y=f(x), x is the independent variable and y is the dependent variable.

Q: 1. Sketch the graph of the function: 2x2+ f(x) = 3x-5

A: To sketch the graph of the given function.

Q: What are the x- and y-intercepts of a function, and how are they found?

A: The x-intercept is the length from origin to where the graph of the function cut the x-axis.   The…

Q: Sketch linear function f(x)=-3/4x-6

A: Given: sketch the linear function

Q: The Forecast.linear function in excel indicates how to obtain a y-value when an x-value is known.…

A: Given To find x-value when y-value is given using excel.

Q: sketch a graph of the linear function f(t)= 2t - 5

A: See the details solution in below

Q: 5. When sign analysis is very effective for determining whether a function is increasing, decreasing…

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Q: Find the domain for the function. X-3 V3x-2 a) (-0, 00) b) (- ∞, 3) U (3, 0)

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Q: Sketch the graph of the function given. (a) f(x) = x3     (b) g(x) = |x3|

A: Given: a fx=x3b gx=x3

Q: Sketch the graph of the function given. (a) f(x) = 4x - x2     (b) g(x) = |4x - x2 |

A: Given: f(x)=4x-x2 g(x)=|4x-x2|

Q: Please show step-by-step solution.

A: Given:

Q: At what point is the function in Exercise continuous?

A: Given function is: y=1x-2-3x We have to find the set of points where the above function is…

Q: Sketch the graph of f(x) =x* – 3x³ +x – 3

A: Given function, f(x)=x⁴-3x³+x-3  Now f(x)=0 gives, x⁴-3x³+x-3=0 So,  x³(x+1) -4x²(x+1) +4x(x+1)…

Q: Sketch the graph of the function. y = 3x/2

A: we have to Sketch the graph of the function. y = 3x/2

Q: 6. Use the table to write a linear function that relates y to x. -1 2 y 3 -3 Sub

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Q: In Exercises 5–8, determine whether the graph of the function is symmetric about the y-axis, the…

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Q: write a linear function f with f (4) = -3 and f (0) = -2

A: Given: Write a linear function f with f(4)=-3 and f(0)=-2. Any linear function is of the form…

Q: Analyze and sketch the graph of f(x) = x√(x2 + 2) .

A: Consider the function:

Q: What is a piecewise linear function?

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

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Q: Find the slope of the graph of the function at the given point.

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Q: Write the linear function in slope-intercept form satisfying the given conditions: Graph of g passes…

A: It is given that the required linear function is perpendicular to thegiven equation x+3y-6=0and…

Q: Sketch the graph of the function. x + 6, xS -3 g(x) = 2 x- 5, x> -3

A: Given, gx = x+6,x≤-312x-5,   x&gt;-3  We have to sketch the graph of gx

Q: The number of residues of the function f(2)= (2+1)(2²+4) are

A: Number of residue is to find the number of zero's of the denominator of the rational function after…

Q: A store owner estimates that by charging x dollars each for a certain lamp, he can sell 40 – x lamps…

A: Given  number of lamps sell each week by charging x dollars each = 40-x

Q: The graph of linear function f passes through the point (1,-9) and has a slope of -3. What is the…

A: We can use the concept of straight line in order to solve the given problem.

Q: A function is modeled by the equation f(x)=2x+5f(x)=2x+5.

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Q: The input value for a function is 20. That is the output for y=-1/2x-5

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Q: The graph of a quadratic function f passes through the points (−2, 4), (1, 1) and (5, 0). What is…

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Q: 11. Construct a linear function that represents the table of values shown.

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Q: Draw the function of y = x 2 / 3 + x2

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Q: Sketch a graph of f(x) = – x + 2

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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: 3. How is the symmetry of the absolute value function reflected in the equivalent linear piecewise…

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: Sketch the graph of the function f(x): = 2x-3 x²-4

A: The function is  f(x)=2x-3x2-4

Q: Sketch the graphs of the functions. (x) = -x2 + 3x and g(x) = x - 3 y 20 10 -10 -8 -6 -4 -2 6 8 10 -…

A: Sketch the graph of f(x)=-x2+3x and gx=x-3. Plot the points to draw the graph f(x)=-x2+3x. x…

Q: sketch the graph of the function y= x-4X +3

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Q: Find the slope of the graph of the function at the given point.                        f(x) = √(3x2…

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Q: 3. When can you say that the function is an implicit function?

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Q: What is meant by linear function in reference to algebra?

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Q: Study the relative maxima and minima of the function f(x,y) = xye2x+y

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Q: Sketch the graph of f.

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

Q: use example 3.18 to contrust a table that describes the function H

A: To form the table, first take all the pairs in ℤ5×ℤ5. The following table gives the set of all…

Q: 3) Classify the type of the fixed points of the function : f(x) = x³

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Q: Suppose f(-3) = -8 and f(-1) = 2. Determine the linear function represented by these values.

A: