9. Sketch the graph and state the domain and range of the given function. G(x) = -3-x, if x« -1 x-3, if-1s x< 3 Vx, if x> 3 Evaluate : a) G(-9). b) G(%) c) G(4) Domain: Range:

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A: Given function: And the graph:

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A: Suppose, Given - a formula for a function f(x) Critical Points: Critical point of a function are the…

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A:

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

A: Let f(x)=y. Differentiate the function with respect to x, to find f'(x).…

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A: The easiest type of function to use for these types of problems are rational unctionsFor vertical…

Q: Express the function graphed on the axes below as a piecewise function. 10 8. 2 -10 -6 -4 -2 4 10 -2…

A: Given: Graph:

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

A:

Q: y = x² /9 – x

A: x=0 y=0   x=1 y=(8)^(1/2)   x=2 y=4((7)^(1/2))   x=3 y=9((6)^(1/2))

Q: 10. Identify three characteristics to the graphed function of f (x) = (÷) +1.

A:

Q: 3) Without a graph, how can one show differentiability of a function at apoint?

A: With out the graph, to show the differentiablity of a function at a point we have to use the…

Q: -5- - fx – 3;x 0 f(x):

A: Suppose we have piecewise function and need to find value of function at x=a . Follow below approach…

Q: 8. What is the vertex of the graph of the function g(x) = (x + 2)2 - 6 ?

A:

Q: 7) Sketch a graph for f(x) 3 + 2-x

A: To plot the given function:

Q: I dont understand how to graph x / abosolute value of x?   How do I approach this?

A: Solved below

Q: (3) Create the function which best describes the graph show below. f(x) 8- -7- 6. -5 4- -2- -7 -6 -5…

A:

Q: escribe the end behavior of the graph of the function  a) f(x)= -4(8)^x -3 as x-->negative…

A: Given function  f(x)=-48x-3

Q: The graph of f(x)=-x-5x+6 has the point (2, -6) on it. O True O Fals

A: Ans: False

Q: Use the graph of f (x) shown to identify a possible graph of f(x). 16 10 5 8- -16 Creoted with a…

A: Given: the graph of f'x.

Q: What is the range of the relation shown on the graph?

A:

Q: y 6 3 1 -6 -5-4 -3 2 -1 12 3 4 5 -1 6 -2 -3 -4 -5 -6

A:

Q: Given the function g(x) = – 2x* + 7x" +x2 + r - There are at most x-intercepts, and based on the…

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Q: Determine the end behavior of the graph of the function. n(x) = -5(x+1)(3x-1)°(x+6) As x-- 00, n (x)…

A:

Q: Suppose that the function y=f(x) is decreasing on the intervals (8,3) what can be said about the…

A: Question is solved.

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: Complete the analysis and sketch the graph of the function y=x3 -x2 -8x+8. The answer should include…

A: We can analyse function as follows

Q: Determine the intervals of concavity for the graph of f(x) =  lnx/x

A:

Q: 6. Make a clear, well-labeled graph of the piecewise-defined function below. (-x-10 if x 10 if f(x)…

A: We want to plot the graph.

Q: Find the range of the function y = -2|x – 3| + 2. O (-∞,2] O (-∞, ∞) O (-∞, 2) O [2, 0) O [3, ∞) O…

A:

Q: 4. Classify the function on the graph as odd, even, or neither. 2 2. 4 -2,

A: Graph of the function is given, we have to find it is odd or even or neither

Q: What is the function rule for the graph. below?

A: Consider a line passes through two points with coordinates  x1,y1 and x2,y2. The equation of the…

Q: 2. For the questions on this page, use the graph of f(x), below. 3- |-7--

A:

Q: 2. Use the graphs of y=f(x) and y= g(x) to sketch the graph of y=h(x). Hint: Estimate the function…

A: answer is in next step.

Q: 2.For the graph provided, state whether the leading coefficient is positive or negative, the degree,…

A:

Q: Without using a​ calculator, complete the table with values of the function ​f(x)=(81)x. Then use a…

A: given function is f(x)=81 x find out the values of f(x) at x=-34,-12,-14,0,14,12,34,1

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A:

Q: Is there a function whose graph is symmetric with respect tothe x-axis? Explain.

A: If a graph is symmetric with respect to x-axis for a point (x,y) lying on graph if and only if…

Q: Determine the end behavior of the graph of the function. 1 f (x) = -x°- 2x* -x° +7 As x - -00, f (x)…

A:

Q: 2. How does the value of a affect the graph of the general function ru y = af(x - h) + k? 3. How…

A: a decides the direction of parabola. If it is positive graph opens upwards, if it is negative, graph…

Q: Sketch the graph of the function with the given rule. if x < 3 5- x 3x - 7 if x 2 3 y

A:

Q: Select the graph which satisfies all of the given conditions. f' (-3) = f' (2) = 0 Increasing on…

A:

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

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Q: Determine from the graph whether the function has any absolute extreme values on [a, b]. Then…

A: For given graph, Absolute Maximum is at x = d. and  Absolute minimum does not exist.

Q: 9. Sketch the graph of the function y = Va + 2 and determine the domain and range.

A: We have to draw the graph

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A: Concave upward on (-inf,-6) and concave downward on (-6,inf).

Q: 6. Select the correct graph below of the function: (x) = x*(x + 2)(x – 2). List the x-intercepts.…

A:

Q: 2. Find the domain & range for the continuous graph below.

A:

Q: If f (x) is the function whose graph is shown, on which interval is fincreasing? Use cursor to…

A: f(x) is the function whose graph is shown, on which interval is f increasing?

Q: What is the definition of an even function?

A: Let f(x) be a real valued function of a real variable, then f(x) is said to be even function if…

Q: In Exercises 3–8, find the limit of each function (a) as x→∞ and (b) as x→ -. (You may wish to…

A: We’ll answer the 3rd question since we answer only one question at a time. Please submit a new…