Choose the correct options for the following questions.
If $f(x)=x^{3}+2x^{2}-1$, what is the value of $\frac{f(a+h)-f(a)}{h}$=
Difficulty: Easy
A:
$3h^{2}+(3a+2h)+a^{2}+3a$
B:
$h^{2}+(3a-h)2+2a^{2}+3a$
C:
$h^{2}+(2a+3)h+3a^{2}-4a$
D:
$h^{2}+(3a+2)h+3a^{2}+4a$
In the function $f: p \rightarrow 3p+\frac{5}{p}$ what is the possible value of p whose image is 8?
Difficulty: Easy
A:
1 and 5
B:
2 and 5
C:
1 and 5/3
D:
-1 and 3/5
The value of x which is unchanged by the mapping in the function defined by $f: x \rightarrow x^{2}+5x-5$ for x>0 is
Difficulty: Easy
A:
1
B:
5
C:
-5
D:
-1
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