true or false questions : pls need accurate answers 1) The function f ( ? ) = co

Question

true or false questions : pls need accurate answers

1) The function f(?) = cos(?) ? sin(?) is increasing on 0 ? ? ? ?/2.

2) The function f(?) = tan(? ? ?/2)is not defined at ? = ?/2, 3?/2, 5?/2, . . . .

3) The function g(?) = esin(?) is periodic.

4) If f(x) is a periodic function with period k, then f(g(x)) is periodic with period k for every function g(x).

5) The inverse function of y = log(x) is y = 1/log(x)

6) The graph of f(x) = ln(x) is concave down

7) The graph of g(x) = log(x ? 1) crosses the x-axis at x = 1.

8) If a and b are positive constants, then y = ln(ax + b) has no vertical asymptote.

9) The function f(t) = sin(0.05?t) has period 0.05.

10) The function f(x) = sin(x2) is periodic, with period 2?.

11) If g(x) is a periodic function, then f(g(x)) is periodic for every function f(x).

12) The function f(x) = |sin(x)| is even.

Explanation / Answer

1. false

2. false

3. true

4. false

5. false

6. true

7. false

8. false

9. false

10. false

11. true

12. true

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