Functions - Past Year Questions

-2

2

-1

1

( x^3 - 4x^2 + 7x - 4 )

( x^3 + 2x^2 + 3x + 5 )

( x^3 - 2x^2 + 3x - 5 )

( x^3 + 2x^2 + 3x + 3 )

2

0

6

1

$\{1\}$

$\{1,-1\}$

$\{1,0\}$

$\{1,0,-1\}$

$\frac{1}{8}$

$\frac{1}{2}$

1

$\frac{3^{2}}{2^{6}}$

$\frac{2021}{2020}$

$\frac{2020}{2019}$

1

$\frac{2020}{2021}$

16

15

25

26

positive and monotonically increasing for x $\in (-\infty, \frac{5-\sqrt{57}}{2})$ and x $\in (\frac{5+\sqrt{57}}{2}, +\infty)$

negative and monotonically decreasing for x $\in (-\infty, \frac{5-\sqrt{57}}{2})$ and x $\in (\frac{5+\sqrt{57}}{2},+\infty)$

negative and monotonically increasing for x $\in (-\infty, \frac{5-\sqrt{57}}{2})$ and positive and monotonically increasing for x $\in (\frac{5+\sqrt{57}}{2},+\infty)$

positive and monotonically increasing for x $\in (-\infty, \frac{5-\sqrt{57}}{2})$ and negative and monotonically decreasing for x $\in (\frac{5+\sqrt{57}}{2},+\infty)$