Find the domain of the function. (Enter your answer using interval notation.) (x +9 if x < -3 f(x) = -2x if |x| s 3 -6 if x > 3 [-3, – 00)U Sketch the graph of the function. f(x) f(x) 1아 10 10 -1아 -1아 f(x) f(x) 1아 1아 -10 10 -10 10 -1아 -1아 to

Q: Graph the function. 9 (x) = -x² + 1 Plot five points on the graph of the function: one point with…

A: Shown below

Q: Find the domain of the function. (Enter your answer using interval notation.) /5+ x g(x) = 4 – X…

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Q: What value of x makes the relation {(1,5), (x, 8), (-7,9)} a function?

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Q: The intervals where the function f(x) = -x² + 16x + 8 is increasing and decreasing is: increasing in…

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Q: The cost in dollars of making x items is given by the function  C(x) = 10x + 800. (a) The fixed…

A: Given: The cost in dollars of making x items is given by the function  C(x) = 10x + 800.…

Q: -6-5-4-3-2-1 у 7г 6 4 3 2 1- -1 -2 -3 -4 -5 -6F 1 2 3 4 5 6

A: Range :- all the y value where function is defined

Q: Describe the x-values at which the function is differentiable. (Enter your answer using interval…

A: Note that, “If a function has a corner in its graph, then at the corner point the function will not…

Q: If f(x) =2x then f(5) = ---------. Here f(5) = 10 is an abbreviation " if x= -------- in the…

A: To find f(5) we plug x=5 in f(x)=2x   f(5)=2(5)=10   So, f(5)=10

Q: The intervals where the function f(x) = -x² + 8x + 8 is increasing and decreasing is increasing in…

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Q: Determine where the function is concave upward and where it is concave downward. (Enter your answers…

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Q: State the intervals on which the given function is increasing, decreasing, or constant.

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Q: Find the interval or intervals where the function is increasing and where it is decreasing.  Please…

A: A function of x is said to be increasing on an interval when the derivative function is positive on…

Q: ry to draw a vertical line on the graph so it intersects the graph in more than one place. If you…

A: Lets draw vertical lines on the given graph  The vertical lines intersects the circle at two points

Q: Identify the open intervals on which the function is increasing or decreasing. (Enter your answers…

A: I am attaching image so that you understand each and every step.

Q: What is the domain of the function f(x) =0 in set notation and in interval notation? Drag and drop…

A: Consider the given function. fx=x2-36x+6 Domain is the set of all possible input values which makes…

Q: EXAMPLE: Find the interval where the function is decreasing or increasing (1) f(x) = x3-12x +5

A: Given function is f(x) = (x^3)-12x+6 Find f'(x) f'(x) = 3(x^2)-12 Do f'(x)= 0 , solving for critical…

Q: Find the domain of the function. (Enter your answer using interval notation.) x + 9 if x < -3 f(x)…

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Q: Give a rule of the piecewise-defined function. Give the domain and the range. 2- -3 -2 -11. 345 -2-…

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Q: Choose the correct domain of the function in interval notation. [-1, ) ) (-0∞, -1] (-00, 1] O 600,…

A: We are given a graph of the functions and we need to find its domain.

Q: Which of the choices best represent the function end behavior? select all that apply.  1. As x- > -…

A: From the above graph we can take the following observations: When the value of x is negative(we can…

Q: If the function is f(x) =3x+5 and the domains are -1, 0,4,7, what's the range

A: Given function is f(x)=3x+5 given domains are -1,0,4,7 find the range of the function

Q: -4 -6 -2 4 -6

A: To find the interval where the function is positive first we  choose  some points in the given…

Q: Analyze the graph of the function f(x)=2|x+5|+7 compared to the graph of the absolute value function…

A: To analyze the graph of the function f(x)=2|x+5|+7 compared to the graph of the absolute value…

Q: graph of the function

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Q: 13. The interval for function -(x+5)/2<(12+3x)/4 is (- 00,-22/5) (-22/5,00 ) (- 00,-22/5] 0(-22/5,00…

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Q: 5 y 3 X -5 -4 -3 -2 -1 1 3 4 -1 -2 -3 -4 -5- Domain written in interval notation: Range written in…

A: Domain: domain is all possible x values on the graph. Range: range is all possible y values on the…

Q: Find the domain of the function. (Enter your answer using interval notation.) 3 - x if x s 2 f(x) 7x…

A: Find your answer below

Q: Use the graph of the function to estimate the intervals on which the function is increasing or…

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Q: -4 -2 4 2. 2.

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Q: Use the graph to estimate the open intervals on which the function is increasing or decreasing. Then…

A: Graph of the function is given, we have to find its increasing and decreasing intervals

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answers…

A: To find the concavity intervals, double differentiate the function f(x)…

Q: Find the domain and the range and sketch the graphof the function F(x)=[. X+9 - 2x if x 3

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Q: For what intervals is f(x) = x* – 8z² +3 decreasing? O The graph is decreasing on the interval (0,…

A: givenf(x)=x4-8x2+3f'(x)=4x3-16xf'(x)=4x(x2-4)so critical points will be -2,0 and 2

Q: How do you find the domain of a function in interval notation?

A: Domain is related to input values .So to find the domain, we have to check the restrictions on the…

Q: Find the point of inflection of the graph of the function f(x)=x^3-3x^2+21x-19 (x,y)=( ) Describe…

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Q: To conduct an experiment, the room temperature in a lab needs to be as close as possible to -2…

A: V(x) is the modulus of difference between room temperature x and -2. So we have  V(x)=x-(-2)=x+2 (a)…

Q: What are the relative extrema of the function f(x)=x3+3x2-24x+7 a. relative minimum of -4, relative…

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Q: Suppose the function f(x) = x2 − 8x + 43 describes a physical situation that makes sense only for…

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Q: Two students were playing the same game. The difference in points that each scored for the game can…

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Q: Analyze the graph of the function f(x)=2|x+5|+6 compared to the graph of the absolute value function…

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Q: An airline increases its ticket price from $300 to x dollars. The dollar amount of the fare increase…

A: Given: An airline increases its ticket price from $300 to x dollars. The dollar amount of the fare…

Q: у 3 2 1 -1- -2 -3 1 2 3 4 5 6 X

A: Here is the solution:

Q: The cost in dollars of making x items is given by the function C(x) = 10x + 700. (a) The fixed cost…

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Q: Identify the open intervals on which the function is increasing or decreasing. (Enter your answers…

A: Given: y=x36-x2 To Find: To identify the open intervals on which the given function is increasing or…

Q: Find the domain of the function. Give your result in interval notation. f(x)=7/1-2e^x

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Q: The function w(x) = -0.01x² + 0.27x + 8.60 can be used to estimate the number of self-employed…

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Q: Find the domain the function graphed below. Express in interval notatic -5 -4 -3 2 -2 Domain: 3. 21

A: We have to find out domain

Q: For which values of x is the function f(x)=x+|x+5|

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Q: Find the open intervals where the function graphed below is a) increasing, or b) decreasing. 10- B-…

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Q: Determine the interval in which the function is decreasing for y=2x^3-9x^2-24x-10 without graphin.…

A: You can  use the first derivative to find intervals of increase and decrease and accordingly write…