Use interval notation to indicate where f(x) = x+2 if x < 0 et 2- x if 0 ≤ x ≤ 1 is continuous. if x > 1

Q: Identify where the function f(x) = x³ – 4x² + 8x + 3 is increasing, decreasing, concave up, and…

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Q: Determine the interval (s) where the following function is continuous x-7 f(x)= (x-7)x+4)

A: In the given function (x-7) is a common factor in numerator and denominator. So, it will cancel out…

Q: Describe the properties of continuous  function?

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Q: If a function f is continuous for all real numbers and if х2 + 2х- ах —2а f(x) = when x a, then f…

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Q: Analyze the function f (x) -x + 18 if x 10

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Q: What is the domain of the secant function?

A: Secant function , Sec xWe know        Sec x=1cos xTo find domain Put cos x=0

Q: Write the domain of the function f(x) = arccos(æ), using interval notation, in the space below.

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Q: Explain how to determine whether a function is continuous at a number.

A: Given: Condition of whether a function is continuous at a number

Q: Refer to the function: f(x) = [x], determine f(-3.6) .

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Q: function

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Q: Write the domain of the function f(x) = arcsin(æ), using interval notation, in the space below.

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Q: Is the function y=sec x always defined? Why or why not?

A: y=secx

Q: 2 + 7x if x < 4 Let f(x) if x 2 4. For what value of the constant c is the function f continuous on…

A: Given function is: fx=cx2+7x       if x&lt;4x3-cx          if x≥4 We know that a function is…

Q: Refer to the function: f(x)=[x] dertermine f(-0.8)

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Q: Write the Intermediate Value Theorem for Continuous function?

A: Intermediate value theorem: Statement: The intermediate value theorem states that, If f is a…

Q: Refer to the function f(x)=[x] determine f(-4.1)

A: Greatest integer function

Q: Use the plot command to plot the function f(x) = (0.5x* + 1.1x – 0.9x²)e-0.7* for -3<x<10.

A: For a function, y=f(x), the dependent variable is y and the independent variable is x. The value of…

Q: Is this function Discrete, continuous, piecewise, or linear?

A: as we can see here graph does have scattered points so the given function is not Discrete. now, as…