4 math questions on common functions

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4 math questions on common functions

1.



Determine the domain of the function.

f as a function of x is equal to the square root of nine minus x. (5 points)


2.

Use the graph of f to estimate the local maximum and local minimum.

A piecewise graph is shown with a line increasing to 0, negative 2 terminating at that point and a curve starting at 0,0 and intercepting the x axis at 0, pi, and 2pi. (5 points)



3.

Determine algebraically whether the function is even, odd, or neither even nor odd.

f(x) = -3x4 – 2x – 5 (5 points)



4.

State the vertical asymptote of the rational function.

f(x) = quantity x minus three times quantity x plus four divided by quantity x squared minus one. (5 points)


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