Find the limit as →∞ and →∞. Use this information, together with intercepts, to give a rough of the graph. y = x²(x + 2)²(x - 1)

Q: x+2 x³-4x²-12x 1. For the curve y = , find, a. The value/s of x that make/s the function…

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Q: Let h(x) = -4+ex +1.

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Q: LET f(z) –1* and g(x) –1-2. DETERMINE oquations for both (fog(r) and (gof)(z).

A: Given:-              f(x) = x2               g(x) = x - 2

Q: Find the domain and range of this relation { (x, y) RxR: V+3}?

A: Given query is to find the domain and range ofbthe relation.

Q: For the function ƒ whose graph is given, determine the followinglimits. Write ∞ or -∞ where…

A: x→-3+ means on the right side of x=-3

Q: Given the function f(x,y) = y-6x.  Find the domain & its boundary and determine if it is open,…

A: The function given is fx,y=y-6x. The objective is to determine The domain and its boundary. If it…

Q: Consider the graph between two curves. Which of the following is the correct set up for the area of…

A: Consider the graph between two curves. To determine the set up of integral  that represents the area…

Q: 5. Use the fplot command to plot the funetion f(x) = e2sin(048)5cos(4x)in the domain -205 x 30.

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Q: Calculate the numbers a,b and c, knowing that the line (y=2x-3) is an oblique asymptote of the…

A: For the function  the oblique asymptote is We have to find the value of  and

Q: Let f(x)= x if x≥6 6 if x<6. a. Find ​f(1​), ​f(6​), and ​f(7​). b. Sketch the graph of y=​f(x).…

A: Please refer the attached image for complete solution.

Q: 1. Given f(x)=-x² +3, x20 a. State the domain and range of f. b. Find f(x), and state its domain and…

A: Given that,  fx=-x2+3,  x≥0 The domain of a function is the set of all possible inputs for the…

Q: Let f(x) = a. f(2)= x if x ≥ 4 .a. Find f(2), f(4), and f(5). b. Sketch the graph of y = f(x). 4 if…

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Q: Sketch the graph of the function. f(x, y) - 4 - x - 4y2

A: Sketch the given function

Q: -Y) = 19 – 4x - 5y

A: In this question, the concept of the graph of the function is applied. Graph A graph is a graphical…

Q: Graph the function. 6) f(x) = fx-1, for x>0 1-x², for x ≤0 9

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Q: a- Find the limits of the functions below: 7x3 - limx→0 3-3x²-6x x+2 limx--2 Vx²+5-3

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 5. Find the value of x of which the function f(x) %3D 2x – 8 discontinues. Plot the curves.

A: Let's find.

Q: The point (10, 1) is on y = f(x). Determine the corresponding coordinates of this point on the graph…

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Q: Draw the function f(x) = (1+x) by using the following steps: ● x-intercept y-intercept -18…

A: Introduction: To find the maximum and minimum values of the function and the intervals of concave up…

Q: For the function ƒ whose graph is given, determine the followinglimits. Write ∞ or -∞ where…

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