1103022403
Level:
A
The graph of exponential function \( f(x) = \left(\frac13\right)^x \) is below. Use the graph of \( f \) to identify which of the following graphs is the graph of \( g(x) = \left(\frac13\right)^x + 2\).
A
1003021307
Level:
A
Choose the wrong claim:
The diagonals of a rhombus contain an acute angle.
In each parallelogram the opposite angles are congruent.
If one of the interior angles of a quadrilateral is greater than straight angle, the quadrilateral is not convex.
All interior angles in a square are right.
1103021305
Level:
A
\( ABCD \) is a square. Determine the degree measure of the angle \( EGD \) if the measure of the angle \( CFG \) is \( 50^{\circ} \).
\( 5^{\circ}\)
\( 10^{\circ}\)
\( 15^{\circ}\)
\( 20^{\circ}\)
1103021304
Level:
A
The side lengths of the rectangle \( ABCD \) are in the ratio \( AB:BC=12:5 \). Give the degree measure of the angle \( CAB \). Round the result to two decimal places.
\( 22.62^{\circ} \)
\( 67.38^{\circ} \)
\( 24.62^{\circ} \)
\( 65.38^{\circ} \)
1103021303
Level:
A
A rectangle with sides \( a \), \( b \) is given. The angle between diagonals \( \alpha = 60^{\circ} \). The longer side \( a = 6\,\mathrm{cm} \). Calculate the length of the shorter side \( b \).
\( \frac6{\sqrt3}\,\mathrm{cm} \)
\( \frac3{\sqrt3}\,\mathrm{cm} \)
\( \frac1{\sqrt3}\,\mathrm{cm} \)
\( 6\sqrt3\,\mathrm{cm} \)
1103021302
Level:
A
The aspect ratio of the sides of the \( ABCD \) rectangle is \( \sqrt3 : 1 \). Express the degree measure of the obtuse angle contained by the diagonals of the rectangle.
\( 120^{\circ} \)
\( 30^{\circ} \)
\( 60^{\circ} \)
\( 150^{\circ} \)
1103021301
Level:
A
The sides of a rectangle are in the ratio \( 1:2 \). Give the degree measure of the acute angle between the diagonals of the rectangle. Round the result to two decimal places.
\( 53.13^{\circ} \)
\( 26.57^{\circ} \)
\( 60^{\circ} \)
\( 53^{\circ} \)
1003019302
Level:
A
Which of the following functions has minimum at \( x=3 \)?
\( f(x)=2|x-3|+1 \)
\( h(x)=2|x+3|-1 \)
\( g(x)=-2|x-3|+3 \)
\( m(x)=2|x+3| \)
1103022402
Level:
A
Which of the equations is the equation of the horizontal asymptote of \( f(x) = \left(\frac12\right)^x-2 \)? Function \( f \) is graphed in the figure.
\( y=-2 \)
\( y=-3 \)
\( x=-2 \)
\( x=-3 \)
1003022401
Level:
A
Which of the equations is the equation of the horizontal asymptote of \( f(x)=2^x+3 \)?
\( y=3 \)
\( y=-3 \)
\( x=3 \)
\( x=-3 \)