1103019002
Level:
A
One of the given graphs is a graph of an exponential function. Choose this graph.
A
1003019001
Level:
A
Which of the following functions is not an exponential function?
\( f(x)=x^3 \)
\( g(x)= \mathrm{e}^{-3x} \)
\( h(x)= 5^{\frac x3} \)
\( i(x)= \left(\frac53\right)^x \)
1103018804
Level:
A
Choose the correct verbal description of the angle shown in the picture, where the point \(S_{EF}\) is the midpoint of the edge \(EF\).
The angle between the line \(AS_{EF}\) and the plane \(BCG\) (right side face).
The angle between the line \(AS_{EF}\) and the plane \(EFG\) (top face).
The angle between the line \(AS_{EF}\) and the plane \(DCG\) (back face).
The angle between the line \(AS_{EF}\) and the plane \(ABF\) (front face).
1103018803
Level:
A
Choose the correct verbal description of the angle shown in the picture.
The angle between an edge and a face diagonal.
The angle between two edges of a cube.
The angle between a space diagonal of a cube and its edge.
The angle between two face diagonals of a cube.
1103018802
Level:
A
Choose the correct verbal description of the angle shown in the picture.
The angle between a space diagonal of a cube and its face diagonal.
The angle between a space diagonal of a cube and its edge.
The angle between two face diagonals of a cube.
The angle between a face diagonal of a cube and its edge.
1103018801
Level:
A
Choose the correct verbal description of the angle shown in the picture:
The angle between two space diagonals of a cube.
The angle between a space diagonal of a cube and its edge.
The angle between two face diagonals of a cube.
The angle between a space diagonal of a cube and a face diagonal.
1003020604
Level:
A
Find the domain of the expression.
\[
\frac{\sqrt{-x^2-2x+24}}{2x^2-3x+3}
\]
\(\left[-6;4\right]\)
\(\left[-4;6\right]\)
\(\mathbb{R}\setminus\left[-6;4\right]\)
\(\mathbb{R}\setminus\left[-4;6\right]\)
1003020603
Level:
A
Find the domain of the expression.
\[
\sqrt{-x^2+x+20}
\]
\(\left[-4;5\right]\)
\(\left(-\infty;-4\right]\cup\left[5;\infty\right)\)
\(\emptyset\)
\(\left[-5;4\right]\)
1003020602
Level:
A
Find the domain of the expression.
\[
\frac{\sqrt{x^2-x-6}}{x^2-7x+10}
\]
\(\left(-\infty;-2\right]\cup\left[3;5\right)\cup\left(5;\infty\right)\)
\(\left(-\infty;-2\right)\cup\left(3;\infty\right)\)
\(\left(-\infty;-2\right)\cup\left(3;5\right)\cup\left(5;\infty\right)\)
\(\left(-\infty;2\right)\cup\left(3;5\right)\cup\left(5;\infty\right)\)
1003020601
Level:
A
Find the domain of the expression.
\[
\frac1{\sqrt{5x^2+7x-6}}
\]
\(\left(-\infty;-2\right)\cup\left(\frac35;\infty\right)\)
\(\left(-2;\frac35\right)\)
\(\left(-\infty;-2\right]\cup\left[\frac35;\infty\right)\)
\(\left[-2;\frac35\right]\)