Exercises 21 -24: The table is a complete representation of f. Use the table to determine if f is one-to-one and has an inverse. X 1 2 3 4 21. f(x) 4 3 3 5

Q: The value of f(3.5) from the following points (1,1), (2,14), (3,15), (4,5), (5,6), (6,19) is

A: In this problem we can use many interpolation method. I am using Newton-Gregory forward…

Q: Identify the given relation. {(1,2),(2,2),(3,5),(4,5)}

A: In a one-to-one function, given any y there is only one x that can be paired with the given y.…

Q: What is the domain and range of a function in calculus?

A: Domain of a function: All possible x values which a function accepts are called the domain of the…

Q: Determine whether the given statement is true or false. If the statement is false, make the…

A: Consider the functions fx=x3    and   gx=x13. Note that  f∘gx=fgx=fx13=x Similarly, g∘fx=gfx=gx3=x…

Q: If a function passes the vertical line test then it has an inverse

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Q: Describe how a relation and a function are different.

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Q: Which of the following functions has an inverse? xlxl (a) x³ + x - 1, (b) x³ - x + 1, (C)- x+1 - (d)…

A: (a) fx=x3+x-1 If no horizontal line intersects the graph of f more than once, then f does have an…

Q: Show that if a function has both right and left inverses, then the function is bijective.

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Q: 3-7Sint 12 What is the midline of the function aboue ?

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Q: Identify the relations which are also functions.

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Q: Give example of completely an a multiplicative function.

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Q: Determine whether the given statement makes sense or does not make sense, and explain your reasoning…

A: The  person noticed that he/she might have made a mistake in finding the composite functions f∘g…