Select the correct answer for end behavior of the function: As a → -0, ƒ(x) → As x → 0, f (x) →

Q: Ax, y) = In(x +y)

A: In this question, we have to find the domain and range of f(x,y)=lnx+y As we know that the domain of…

Q: Given the function f(x) = x³ - 3x2 x – 1, determine all coordinate points (x, y) on the graph of f…

A: The derivative of the function will give the value of slope. For two value of x, f(x) will have…

Q: Describe the long run behavior of f(x) - 2? As x → - 0o, f(x) → ? As x → 0, f(x) → ?

A:

Q: Find the domain and range of the function.

A: Given : The function f(x, y) = ln(xy - 6)   To find the domain and range of the function.

Q: Let P(x, y) be a point on the graph of y = √x. Express the distance, d, from P to (2, 0) as a…

A:

Q: f(x) = at x = 1 X-2

A: A polynomial function is always Continous in its domain

Q: Find an equation for f(x) using the tangent function. f(x) = f(x) 12- 10 8. 6. 4 2 X 3 2 6. 6 3 6 -8…

A: The given graph is:   To find the equation for f(x).

Q: Evaluate the function at the specified points.  f (x, y) = x + yx^3, (2, 2), (−1, 4)

A: To evaluate the function at specified points:f(x,y)=x+yx3, (2,2),(-1,4) Solution: Given,…

Q: Find the points of discontinuity of the function f(x)={1−x2,x<0x+2,x≥0 if they exist.

A:

Q: if f(x) is a function that is continous at (2,f(x)) then f(x) is differentiable at (2,F(2))   true…

A: Given statement is If f(x) is a function that is continous at (2,f(x)) then f(x) is differentiable…

Q: Find the value of the constant (a, b, or c) that makes the function continuous.

A: A function fx is continuous at x=a if its left-hand limit, right-hand limit, and fa are equal and…

Q: Where is the function f(x) =| x | differentiable?

A: Given information: fx=x The function, after removing modulus function, y=x=x,      x>0=-x,…

Q: For which values of x is the function below NOT continuous?

A: To find out the values of x at which the function is discontinuous.

Q: 3) Let f (x) = e=x² Where is y'> 0? What does this tell you about the original function?

A:

Q: as a function of x when y =

A:

Q: Find the linear approximation of the function below at r = -1 and use it to approximate f(-0.8). -7x…

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: Differentiate ex with respect to x, assuming that y is implicitly a function of x.

A: Here we have to use the concept of implicit derivative

Q: Which type of discontinuity does the function S4- a², In x, x < 1 f(x) = 1<x < e has at x 1?

A: We need to choose correct option.

Q: Differentiate the expression with respect to x, assuming that y is implicitly a function of x    . e…

A: Derivative of a function is the rate of change of function with respect to another variable.…

Q: For the function f(x), defined graphically, state the value(s) of x where the function is not…

A:

Q: Let ƒ be the function given by ƒ(x) = (x-2)²(x+3). For what values of x is f not continuous?

A: The given function is fx=(x-2)2·(x+3)(x-2)·(x+1) We have to find the values of x, for which f is not…

Q: The function f(x,y)=/26-2x²-y² is continuous at point (2,-3). .A False .B True

A: A function is continuous at a point if after putting the point in the function yields a positive…

Q: Differentiate the expression with respect to x, assuming that y is implicitly a function of x.…

A: To find: Derivative of yy+1 with respect to x, assuming that y is implicitly a function of x.

Q: Apply the definition to differentiate the following functions: 1- y = ₁

A:

Q: . Give a function f (x) which tends to 0 as x tends to infinity.

A: We have to find a function which tends to 0 as x tends to infinity.

Q: X- e.

A:

Q: Find the domain of the function. Express the exact answer using interval notation. f(x) = To enter…

A: Consider the function  f(x)=25x+8

Q: Use Intermediate Vaule Tun to show that the functions f(x) = x^3 and g(x) = 2x + 3 intersect at at…

A:

Q: From now on consider the function f(x, y) = e$n(x) y.

A: direction of fastest increase is along the gradient vector  Given f(x,y)=esinx y

Q: Find a function f such that f'(x) = x4 and the line 2x - y = 3 is tangent to the graph of f.

A: Given that

Q: Find a function f(x), such that f"(x) = 3sin(4x). %3D

A:

Q: Let f(x) be a piecewise function. Evaluate So fl f(x) dx = = if x < 2 2x-3, if x ≥ 2 (3x²+2,

A: Topic = Integrate

Q: Describe the long run behavior of f(x) = – x² - As x → – ∞, f(x) → ? V - As x → ∞, f(x) → (? V

A: Describe the long run behavior of f(x)=-x5As x→-∞, f(x)→?As x→∞, f(x)→?

Q: a. Find the inverse of the function ƒ(x) = mx, where m is a con-stant different from zero. b. What…

A: a. given,

Q: determine the most general function M(x, y) or N(x, y) so that equation is exact.

A: We have to find M(x, y) Or N(x, y).

Q: Differentiate the function with respect to the independent variable. f(x) = 2x° In xº f'(x) =O

A:

Q: Produce the linear approximation of the given function at the specified value. f(x) = sqrt(x); x =…

A: fx=x,  x=2 Differentiating with respect to x, we get f'x=12x Now at x=2, f2=2  &amp;  f'2=122

Q: Find an equation for f(x) using the secant function. f(x) =

A: NOTE: Refresh your page if you can't see any equations. . the secant function is in the form of as…

Q: Let P(x, y) be a point on the graph of y =√x. Express the distance, d, from P to (1, 0) as a…

A: Given that :  P(x,y) be any point on the graph of y=xDistance between…

Q: Find the value of a and b that will make the function continuous. for x 1/2

A: The function f(x)=1x,        for x&lt;-1ax+b,  for  -1≤x≤121x,         for x&gt;12. We have to find…

Q: Find k such that the line is tangent to the graph of the function.                        Function…

A: Given, function y=fx=kx and line  y = x + 4

Q: Find the values that make the piecewise function continuous: 2, XS-1 f(x) = ax + b, -1<x< 3 x2 3 -2,

A:

Q: Find the lineearization L(x) of the function f(x) = x^3/4 at x = 16.

A:

Q: Find the domain of the function using interval notation. f(x) = -2x (1- 1) (r – 7) To enter oo, type…

A:

Q: determine whether the piecewise-defined function is differentiable at x = 0.

A: to determine if the function is differentiable we have to check if it's differentiation is equal…

Q: Use the given graph of the function to find the x-values for which f is differentiable. not 1,0

A:

Q: Which of the following functions passes through the point (0,12) and satisfies f'(x)=8 ?

A:

Q: Find an equation for f(x) using the secant function. f(x) = %3D

A: