Question

Consider this function and its graph. f(x) = tan(3x + pi/4) - 1 Which statement best describes function f?

Answer 1

Answer: D. The function is neither even nor odd.

Step-by-step explanation:

A function f(x) is even if:

f(x) = f(-x) for all x-valies

A function f(x) is odd if:

f(x) = -f(-x) for all x-values.

If there is only one value of x such that the above conditions are false, then the function is neither odd nor even.

In the graph, we can see that:

f( -π/3) = f(π/3)

This would imply that the function is even (at least in that point)

And can also see that as x increases from zero, the value of f(x) increases.

And as x decreases from zero, the graph of f(x) decreases.

So for a point  1 > a > 0, we have that:

f(a) ≠ f(-a)

Then we can conclude that the function is neither even nor odd, the correct option is D.

Answer 2

Answer:

D. The function is neither even nor odd

Step-by-step explanation:

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