2110009208
Level:
A
Identify a possible graph of the function
\(f(x)= |2+x|\).
A
2110009207
Level:
A
Identify a possible graph of the function
\(f(x)= |x|+3\).
2010009206
Level:
A
Identify the values of real parameters \(a\)
and \(b\)
such that the graph of the function
\[
f(x)= |x + a| + b
\]
corresponds to the picture.
\(\ \ a = -1,\ b = 2\)
\(\ \ a = 1,\ b = 2\)
\(\ \ a = -1,\ b = -2\)
\(\ \ a = 1,\ b = -2\)
2010009205
Level:
A
Identify the value of a real parameter \(a\) such that the graph of the function
\[
f(x) =3- |x - a|
\]
corresponds to the picture.
\( -2 \)
\( 2 \)
\( 1\)
\( 3 \)
2110009103
Level:
A
Identify a possible graph of the function
\(f(x)= |x| +\sqrt5\).
2110009102
Level:
A
Identify a possible graph of the function
\(f(x)= -|x-2| \).
2110009101
Level:
A
Identify a possible graph of the function
\(f(x)=2 -|x| \).
2010009006
Level:
A
Find the solution set of the following equation.
\[(x-2)^2+(2+x)^2=8+2x^2 \]
\( \mathbb{R}\)
\( \{-1\} \)
\( \{2\} \)
\( \{-2\} \)
2010009005
Level:
A
Find the solution set of the following equation.
\[(x+3)^2-(2-2x)^2=1-3x^2 \]
\( \left\{-\frac27\right\} \)
\( \{2\} \)
\( \left\{\frac72\right\} \)
\( \emptyset \)
2010009004
Level:
A
Find the solution set of the following equation.
\[x-3[x-5(x-4)]=10(x-3) \]
\( \{10\} \)
\( \left\{-\frac{10}9\right\} \)
\( \{-14\} \)
\( \emptyset \)