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: Express the function F in the form to g. (Enter your answers as a comma-separated list. Use…

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Q: A function f(x) = x" – x, n > 0 is not one-to-one function.

A: As:-    A function is called one to one (injective) if distinct elements of          A are Mapped…

Q: 2. Consider the following four functions from R into R, determine if onto or 1-1 function. Support…

A: To find out which of the following function is one-one,  onto .

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: 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: Which of the following functions is entire? For each, justify. 1 ƒ(z) = 1+|z|²

A: This question from topic entire function of complex analysis.

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: 3. Consider the following function. f(x) = v-x + 4 – 6 Part A: Which of the following statements are…

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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: Which of the statements are true about the function f given by f (x) = 100 · e-#? Select all that…

A: Topic = Functions The true statements are A , D