Range of a Function from its Graph
Properties of functions
Finding Function Domain from Graph
2010014509
Level:
B
Identify a function which has a domain
\((-\infty ;-2)\cup (3;\infty )\).
\(y = \sqrt{ \frac{1}
{(x+2)(x-3)}}\)
\(y = \sqrt{(x+2)(x-3)}\)
\(y = \frac{1}
{(x+2)(x-3)}\)
\(y = (x+2)(x-3)\)
\(y = \sqrt{(x-2)(x+3)}\)
\(y = \frac{1}
{(x-2)(x+3)}\)
2010014508
Level:
B
In the following list identify a function which is bounded below.
\(f(x) = (x +4)^{2}\)
\(f(x) = -(x - 1)^{2}\)
\(f(x) = -x^{2}+1\)
\(f(x) = -(x - 4)^{2}+2\)
2010014507
Level:
B
In the following list identify an even function.
\(f(x)= |x|+1\)
\(f(x)= |x+1|\)
\(f(x)= x+1\)
\(f(x)= x\)
2010014506
Level:
A
The function \( f \) is given by the graph. Identify which of the following statements is true.
The function \( f \) is neither increasing nor decreasing.
The function \( f \) is decreasing.
The function \( f \) is decreasing in the interval \( [ -4;1] \).
The function \( f \) is increasing.
2010014505
Level:
A
The function \( f \) is given by the graph.
Which of the statements about the domain and the range of the function \( f \) is true?
\( D(f) =[ -6;2); H(f)= [ -1;3]\)
\( D(f) =[ -1;3] ; H(f)= [ -6;2)\)
\( D(f) =(-6;2); H(f)= [ -1;3]\)
\( D(f) =[ -6;2); H(f)= [ -1;3)\)
2010014504
Level:
C
Identify which of the following functions is the inverse of function \( f(x)=\frac13 x-2 \).
\( g(x)=3x+6 \)
\( h(x)=3x-2 \)
\( m(x)=3x-\frac12 \)
\( n(x)=-\frac13 x+2 \)
2010014503
Level:
C
Identify which of the following points lies on the graph of the inverse of function \( f(x)=x^3-3\).
\( [24;3] \)
\( [-24;-3] \)
\( [-24;3] \)
\( [24;-3] \)
\( [3;24] \)
2010014502
Level:
B
Let \( f(x)=\frac{\sqrt{x-3}}{x^2-16} \). Which of the statements about the domain of the function \( f \) is true?
\( D(f)=[ 3; 4)\cup (4;\infty) \)
\( D(f)=(3; 4)\cup (4;\infty) \)
\( D(f)=(-\infty; -4)\cup (3;4) \)
\( D(f)=(-4; 3)\cup (4;\infty) \)