2100005103
Level:
A
In which picture is the graph of an odd function?
Properties of functions
2100005102
Level:
A
In which picture is the graph of an even function?
2000005101
Level:
A
Which of the given tables can define a function \(f\)?
\(\begin{array}{|c|c|c|c|c|c|c|} \hline x&1 &4& -2&-3&-1&2 \\\hline f(x) &3&3&1&1&1&3\\ \hline\end{array}\)
\(\begin{array}{|c|c|c|c|c|c|c|} \hline x&-4 &-2& 0&-2&4&6 \\\hline f(x) &1&1&1&2&1&1\\ \hline\end{array}\)
\(\begin{array}{|c|c|c|c|c|c|c|} \hline x&1 &4& -2&-3&1&2 \\\hline f(x) &-5&1&-2&1&3&6\\ \hline\end{array}\)
\(\begin{array}{|c|c|c|c|c|c|c|} \hline x&1 &2& -2&-3&1&2 \\\hline f(x) &-1&0&2&3&-1&-2\\ \hline\end{array}\)
2000002406
Level:
C
Which of the functions is one-to-one?
\( f(x) = x-3 \)
\( f(x) = |x+1|\)
\( f(x) = x^3-x \)
\( f(x) = x^2 \)
2000002405
Level:
B
Decide which of the functions is odd.
\( f(x) = \frac{5}{x} \)
\( f(x) = \frac{x^2}{x^2-4} \)
\( f(x) = \frac{x^2}{2-x} \)
\( f(x) =(x+1)^2 \)
2000002404
Level:
B
Decide which of the functions is even.
\( f(x) = -x^2 +3 \)
\( f(x) = \frac{x}{x^2} \)
\( f(x)=-2x^3 \)
\( f(x) = \frac{1}{x^2+3x} \)
2000002403
Level:
B
Find the domain of the function \( f(x)=\frac{1}{|x-3|}\).
\( \mathbb{R} \setminus \{3\} \)
\( \mathbb{R} \)
\( (3;\infty) \)
\( (-3;3) \)
2000002402
Level:
B
Find the domain of the function \( f(x)= \frac{x^2 -1}{(x+1)^2}\).
\( \mathbb{R} \setminus \{-1\} \)
\( (-1;\infty ) \)
\( (-\infty; -1) \cup (1;\infty) \)
\( [ -1; \infty) \)
2000002401
Level:
B
Find the domain of the function \( f(x) = \sqrt{ \frac{1-x}{x+1}}\).
\( ( -1 ; 1 ] \)
\( ( -1 ; 1 ) \)
\( \mathbb{R} \setminus \{ -1;1\} \)
\( ( -\infty ; 1) \cup [ 1; \infty) \)
Ranges of Functions
Submitted by ladislav.foltyn on Thu, 05/02/2019 - 13:31Question:
Choose all the functions that have the given range.