Using the piecewise function defined below, determine the indicated function values. V5 - 2x, if x < 4 2x2 + X, |x - 10|, g(x) = if 4 < x < 9 if 9 < x (a) g(14) = (b) g(0.5) = (c) g(4) =

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Q: An aircraft factory manufactures airplane engines. The unit cost, C (the cost in dollars to make…

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Q: Find the range of the function f(x) = -2x - 3 for the domain {-1,0,1}. Range:

A: Given function F(x) = -2x -3 and domain -1,0,1 Then we have to find range of function F(x) for the…

Q: Find the vertex and the axis of symmetry of the graph of the function. f(x) = 3x2 . - 4 (x, f(x)) =…

A: The given function is: f(x)=3x2-4

Q: -3 -2 101 5- -10- -f(x) 2 f(x) f(x) - 4 f(x) T ƒ(2x − 1) - 1 ƒ(2x) f(x + 1) f(x) + 4 f(-2x) f(x) -…

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Q: Find the points on the graph of the function that are closest to the given point.

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Q: Describe the concavity for the function f(x) = -a³ +4x² – 5x + 6. The graph is concave down for the…

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Q: Use the graph of y=f(x) in the accompanying figure to estimate the value of f′(3)

A: We know that the slope formula :m=y2-y1x2-x1

Q: The domain of the piecewise function is (- ∞, ∞). Solve, a. Graph the function. b. Use your graph to…

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Q: Which statement about the function f(x)=-x2 is true? A The function is odd. B The domain of the…

A: Domain of function f(x) is the set of value of x for which f(x) is defined. Range is value the…

Q: y 10 8 6 4 2 X -5 5 -24 Amazing work. Find the domain of the function. (Enter your answer using…

A: Solution :  Domain of the function is  (- ♾️ , 3] union [3, ♾️)

Q: Find the maximum or minimum value of the function. f(x) = 1 + 3x - x2 maximum value O minimum value

A: The function is given by fx = 1+3x-x2 To evaluate: The maximum or the the minimum value of the…

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x2 − 8,…

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Q: graph the function:f(x)=-2 for x

A: Graph the function: f(x)=-2 for x

Q: Health Care Suppose that P1x2 represents the percentageof income spent on health care in year x and…

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Q: 2. Determine the maximum value for the function f(x)=-x2-4x-32 . Explain how you found your answer…

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Q: Determine the vertex and the axis of symmetry of the graph of the function. f(x) = -x2 - 6x + 8 (x,…

A: We can solve the given problem using the concept of quadratic equation.

Q: Find the domain of the function. (Enter your answer using interval notation.) f(x) =  x4 x2 + x − 6

A: In this question domain of function have to find.

Q: Find the value of  b  that gives the function the maximum value of  15   f(x)=-x^2+bx-1

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Q: 2.) Graph the piecewise function. f(x) = 3[ x ]

A: Given: The function is, f(x) = 3[x]   Definition: Greatest integer function, [x] The value of [x] is…

Q: The domain of the piecewise function is (- ∞, ∞). Solve, a. Graph the function. b. Use your graph to…

A: The given function is fx=4    if  x≤-1-4 if  x&gt;-1

Q: Consider the function. f(x)=x2-8x+12 d) Determine the number of times the graph of the function…

A: The function is given by f(x) = x2-8x+12 To evaluate : The number of times the graph of the function…

Q: b) Sketch the graphs of the function f (x) =6-x

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Q: The domain of the piecewise function is (- ∞, ∞). Solve, a. Graph the function. b. Use your graph to…

A: the domain of the piecewise function is -∞,∞. the function is: f(x)=0,                     if…

Q: Using the piecewise function defined below, determine the indicated function values. V4 - 2x, if x <…

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Q: A store is giving away 150 gift cards valued at $20 each. They give away 3 gift cards per hour for…

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Q: Consider the function f(x)= -3x +18x-2. Determine, without graphing, whether the function has a…

A: Given data:   The given expression for the function is f(x)=-3x2+18x-2.   a) The expression for the…

Q: The domain of the piecewise function is (- ∞, ∞). Solve, a. Graph the function. b. Use your graph to…

A: Given: f(x)=3if x≤-1-3if x&gt;-1 To determine: a) Graph of the function. b) Range of the function.…

Q: Consider the function f(x) = - 3x2 + 24x- 7. Determine, without graphing, whether the function has a…

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Q: Find the open intervals where the function is increasing and the intervals where the function is…

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Q: Sketch the graph of the following functions. Identify all the properties (domain and range,…

A: We will find all the properties and graph the function as following.

Q: x2-5x-14 5. Graph function of f (x) = X-4

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Q: For the function, find the relative maxima, relative minima, and horizontal points of inflection.…

A: The function is f(x)=y=3x5-5x3+3. Take the first derivative of the function and obtain the critical…

Q: Find the domain of the function f(x) What is the only value of x not in the domain? 5x + 2 Only…

A: To find the domain of the function fx=15x+2

Q: Define f(x) = 5 + 4x - x² What is the range of this function? (-00, 2] (-∞0, 9] (-∞0, 0) (-0, 0) [4,…

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Q: Graph the functions f(x)=- |x-2| +1 Has to use translation method only Basic function is f(x) =…

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Q: Identify the open intervals on which the function is increasing or decreasing. g(x) = x² – 2x - 8…

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Q: f(x) = 11- 18z2 -5z5- 12x - 2x f (x) } and f(x)6 : + -00 as x → : + -00 as z → o0 : - 00 asT -00 : +…

A: topic - polynomials

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

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

Q: x3 + 3x2 10. Then use the 1. Use a graphing utility to graph f(x) graph to determine the open…

A: We have given function y=x3+3x2-9x-10

Q: Determine if the function below is even, odd, or neither. 3 f(x) = 4x – 2x´ + x – 2 Explain two ways…

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Q: An aircraft factory manufactures airplane engines. The unit cost C (the cost in dollars to make each…

A: given, cost function c(x) = 0.9 x^2 -198x + 28.964 to minimize the cost  no of engines = -b/2a

Q: f(x) = x6e-x

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Q: Identify the open intervals on which the function is increasing or decreasing. g(x) = x2 - 4x - 32…

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Q: The domain of the piecewise function is (- ∞, ∞). Solve, a. Graph the function. b. Use your graph to…

A: Given:            fx=x+2If x&lt;-3x-2If x≥-3

Q: Write the function rule for the function shown below reflected in the given axis. f(x) = - 6x;…

A: The given function: f(x) = -6x; y-axis   It is given that g(x) be the reflection of f(x) in the…

Q: Determine the degree of the function  Determine the end behavior  Draw the graph.  Given…

A: f(x)=5x3 +17x2 -14x-8

Q: Find the point of diminishing returns for the function, where R is the revenue (in thousands of…

A: For diminishing point the second derivative of return function is set to zero

Q: (x) = (x + 4)(x − 2)^2 Determine the end behavior of the graph of the function

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Q: Graph the function. f(x) = -x²+2 Plot five points on the graph of the function: one point with x =…

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Q: Find the maximum or minimum value of the function. f(x) = 5 – 6x – x? Is this a maximum or minimum…

A: To find The maximum and minimum value of f(x) f(x)=5-6x-x^2

Q: Consider the functions f(x)=2(x - 3)^2 - 4 and g(x)= -2 (x - 3)^2-4. Without graphing either…

A: Given: fx=2x-32-4gx=-2x-32-4

Q: Describe the end behavior of the graph of the function f(x)=−5(4)x−6

A: Determine the behavior or value of the function at the end points of the function. Determine the…

Q: Find the graph of f(x)=x^2+1/

A: To graph the function

Q: Consider the function f(x) = - 2x² + 12x - 2. Determine, without graphing, whether the function has…

A: To find critical value of a function equate the first derivative of the function equal to zero and…