2000002609
Level:
C
The equation \(x^3 +27=0\) can be solved by factoring. The expression on the left can be factored as:
\( (x+3)(x^2-3x+9) \)
\( (x+3)(x^2+3x+9) \)
\( (x+3)^3 \)
\( (x-3)(x^2+3x+9) \)
C
2000002607
Level:
C
Which of the following equations has not the solution \(x=i\)?
\( x^6 -1 =0\)
\( x^6 +1 =0\)
\( x^3 +i =0\)
\( x^5 -i=0\)
2000002406
Level:
C
Which of the functions is one-to-one?
\( f(x) = x-3 \)
\( f(x) = |x+1|\)
\( f(x) = x^3-x \)
\( f(x) = x^2 \)
2000002203
Level:
C
Identify the solution set of the following inequality.
\[
|x + 2| + |x + 3| \leq 0
\]
\( \emptyset \)
\( \mathbb{R} \)
\( \mathbb{R} \setminus \{-3;-2\} \)
\( \{-3;-2\} \)
2100002005
Level:
C
Identify a possible graph of the function \(f(x) = \left| \frac{1}{x-1} +1\right|\).
2100002004
Level:
C
Identify a possible graph of the function \( f(x) =\left| \frac{1}{x+1} -1 \right| \).
2100002003
Level:
C
Identify a possible graph of the function \(f(x) = \frac{1}{|x+1|}-1\).
2100002002
Level:
C
Identify a possible graph of the function \(f(x) = \frac{1}{|x-1|}+1\).
2100002001
Level:
C
Identify a possible graph of the function \(f(x) = \frac{1}{|x|}-1\).
2000001508
Level:
C
Which of the given numbers is not the solution of the equation \((x-i)(2x+i)=0\)?
\(x=1\)
\(x=i\)
\(x=-\frac{1}{2}i\)
\(x=\cos{\frac{\pi}{2} }+ i\sin{\frac{\pi}{2}}\)