For each of the following functions, determine if the function is injective, whether it is surjetive, or whether it is bijective. If any propertty fails to hold, give a brief but explicit explanation why. If it does hold, you do not need to explain why. 1. f(x) = 2, with f: R \ {-2} → R 2. g(x)= x³, with g: Z → Z 3. h(x) = x³, with h: R → R.

Q: Consider the following table of values. X f(x) -4 -2 0 0 6 4 Use the table of values of the…

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Q: 1. Is the following relation a function? If not, explain why. 2. Is the following relation a fur…

A: 1) From the given table, The element 0 in the domain set has two images 1 and 2 in the range set.…

Q: 6. 1, 5, 11, 19, 29, 7. 1, 4, 10, 20, 35, 1 1 1 1 1 8. 1, | 2 3´4´5´6 3 7 9 9. 1•2 3•4 5•6´7•8 10.…

A: According to our guidelines we can answer only first three sub-parts and rest can be reposted.

Q: Determine  for the following function: . g(1.1)

A: A function defines one variable in terms of another. The statement "y is a function of x" denoted by…

Q: Which of the following statements is true about the function f(x) = x' - 6x²? a. The graph of f is…

A: We will check second derivative to find concave up and concave down.

Q: Every sequence of real numbers has a .monotone subsequence

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Q: What does this show for an increasing or decreasing function, f? O A. If x2 is not equal to x1, then…

A: We know that increasing and decreasing both functions are one-one

Q: Find the domain of the following function. h(x,y) = /x- 8y +6 Select the correct choice below and ,…

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Q: Refer to the functions f and g and evaluate the functions at x =-2. f = {(2, -1), (1, 1), (-4, -6),…

A: (f+g)(-2)=f(-2)+g(-2)  Substitute   f(-2)=-8  ,    g(-2)=-5in the above equation

Q: Let's look at an example involving a generic function. Given that f(x) = x² +5 (where f(x) = y) and…

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Q: Test whether the given function is even, odd, or neither: f(x) = x6 – x3 + 1 Select one: a. even b.…

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Q: Make a table of values for f(x)=x²- 4 showing function values for x = 4, 6, 8,....

A: It is given that the function is fx=x2-4. We have to find the value of this function at different…

Q: Let f be an even function. Determine whether g is even, odd, or neither. Explain. A. g(x) = -f(x) B.…

A: Since f(x) is even function f(-x)=f(x) A) g(x)=-f(x) g(-x)=-f(-x)=-f(x)=g(x) Even function

Q: Consider the function f(x) below. Over what open interval(s) is the function increasing and concave…

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