If f is a linear function,  f(0.1) = 5.4,  and  f(0.4) = −12.3,  find an equation  f(x)  for the function.

Q: Graph the function y = x2 over the interval [-2, 2].

A: y=x2 We first make a table for the function x -2 -1 0 1 2 y 4 1 0 1 4

Q: Find b, if the function f(t) = t?.

A: This is a Fourier analysis question. Lets solve it.

Q: The domain of the function ,y) = In[x* +y² – 1) is:?

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Q: nd the points where the function f(x) = (x² – 1)³ is decreasing, -

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Q: Suppose that f is a linear function with slope -3.4 and that f (3) = 4. What value of x gives f(x) =…

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Q: Find the linearization of the function f(x) = x^8 at x = 1

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Q: Find the slope of the line tangent to the graph of the function at the given value of x. 12) y = x4…

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Q: What is the slope of the curve corresponding to the ff. function at the point (-3, 9/2) 1= 2²-₂ y O…

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Q: Find the linear function with the following properties. f(0)=−4 Slope of f=−6

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Q: The range of function y=(x² – 1) is

A: on solving this we get the

Q: Find the slope of the secant line between the values x1 and x2 for each function y = f (x). f (x) =…

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Q: Decide which of the two given functions is linear, and find its equation. -10 10 20 30 f(x) -1.5 1.5…

A: The table is, x -10 0 10 20 30 f(x) -1.5 0 1.5 3.5 4.5 g(x) -9 -4 1 6 11   The slope of…

Q: Suppose that f is a linear function with slope -3.6 and that f (1) = 4. What value of x gives f(x) =…

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Q: Find the slope of the line tangent to the graph of the function at the given value of x. 12) y = x4…

A: The given equation is y=x4+3x3-2x-2, x=-3. Find the slope of the line tangent to the graph of the…

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

A: the given function is: fx=x2-c          for x<54x+2c      for x≥5 we have to find the value of c…

Q: df If f is the linear function f = 5x – 9, what is the value of dx

A: The given function is f=5x-9

Q: Answer the following 3 questions using the linear function y=-4x+3 If x = -11 then….. As x -> -∞ As…

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Q: The range of the function f(x, y) = 16-4x -9y² is equal to:

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Q: Find the point at which the line f(x) intersects the line g(x) = 2x + 5 = – 2x + 1 -

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Q: The point of the given function at (2, -7) is found to be y = x3 – 2x2 – 4x + 1

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Q: Given that f and g are linear functions, where: f(x) = ax + b g(x) = cx + d Is foga linear function?…

A: Consider the linear function f(x) = ax + b,  The slope of the graph of f = a

Q: If f is the linear function f = 3x - 1, what is the value of ? dx

A: Given: f(x)=3x-1 To find out: df/dx

Q: Graph the function y x over the interval |-1, 1].

A: Graph

Q: Determine the point on the curve for the function H(x)=(-5x+7)(2x+3) where the slope is -1/2

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Q: Given the function g(x) =- + 6x + 12, determine the average rate of change of the function over the…

A: Giveng(x)= -x2+6x+12    and -3≤x≤5

Q: Suppose that f is a linear function with slope -2 and that f(1) = 6. Find the equation for f. (Use x…

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Q: find all possible functions with the givenderivative. y' = 2x - 1

A: Given y'=2x-1 that is  dydx=2x-1 Integrating with respect to x, ⇒y=x2-x+C Where C is the constant of…

Q: Find the linear function with f(1)= 3 and slope 6. Select one: O a. f (x) = 4x + 6 O b. f(x) = 6x -…

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Q: Find the point at which the line f(x) = – x – 2 intersects the line g(x) = 3x + 6

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Q: Find the slope of the graph of the function at the given point.

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Q: Find the point on the graph of the function that is closest to the given point. f(x) = Vx - 4, (15,…

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Q: Find the linear function C=​f(F) that gives the reading on the Celsius temperature scale…

A: the solution is given below

Q: If f(z) is a linear function, f(-5) 0, and f(2) = 1, find an equation for f(z) %3D f(2) = |

A: Here, it is  given that f(x) is linear function such that f(-5)=0 and f(2)=1. We need to find the…

Q: If f(x) is a linear function, f(– 1) = 4, and f(1) find an equation for f(x) - 3, f(x) =

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Q: If f(x)=3x^2-2, and g(x)=f−1(x), what is the slope of the curve g(x)=f−1(x) at the point (10, 2)

A: Given f(x) =3x²-2  And g(x)=1-f(x) =1-(3x²-2) =1-3x²+2 g(x)=-3x²+3 For slope of curve g(x)…

Q: If fx) =vx+2, and g(x) =f(x), find the slope of the curve g(x) = f -1 (x) at the point (2, 2).

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Q: Find the linear approximation to the following functions at the given point a. ƒ(x) = 4x2 + x; a = 1

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Q: If x is large, which function grows faster, f(x) = 2x or g(x) = x2 ?

A: Given,            fx=2x or gx=x2To find : if x is large, then which function grows faster.

Q: Given the function g(x) = -x² + 4x + 9, determine the average rate of change of the function over…

A: See the details solution in the details

Q: Find the slope of the line that connects the points x = a and x = a + h for f(x) = 2x^2

A: Given,        The slope of the line that connects the points x=a and x=a+h for fx=2x2.

Q: Suppose that f is a linear function with slope 4 and that f(2) = 7. Find the equation for f with…

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Q: Given the function + y-4, find y'. Oy = Oy =

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Q: Given the function f(x) = -x² – 7x + 15, determine the average rate of change of the function over…

A: Given, fx=-x2-7x+15 over the interval -9≤x≤3 To find the average rate of change.

Q: Find the linear approximation to the following functions at the given point a. ƒ(x) = x3 - 5x + 3; a…

A: Given The function f(x)=x3-5x+3 and the value of a=2. The expression for the linear approximation is…

Q: Find the local extreme values of the function y = x + x- & + 5

A: Given function f(x) = x3+x2 - 8x + 5 f'(x) = 3x2+2x-8 f"(x) = 6x + 2 By Second derivative Test,…

Q: Find the linear function with the following properties. f(−5)=−1 Slope of f=−4

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Q: Given the function f(x) =-2x +3x-7, calculate the average rate of change on the interval [1, 1+h].

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Q: If f(x)=5x2, and g(x)=f−1(x), what is the slope of the curve g(x)=f−1(x)g(x)=f−1(x) at the point (5,…

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Q: Given the function g(x) = -x2 – 3x +5, determine the average rate of change of the function over the…

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Q: Find the slope of the secant line between the values x1 and x2 for each function y = f (x). f (x) =…

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