All Tasks
From law to graph
The law of the proportional function is f(x) = - 0.75x.
Cross which graph represents to this law.
# Proportionality
Training
8
Points on a graph 2
Give all solutions for c, so that the point P(1; 4) is a point on the graph of f(x) = (x+c)² + 4.
# Quadratic functions
Training
9
Points on graph 1
Give all solutions for c, so that the point P(2; 6) is a point on the graph of f(x) = x² + c.
# Quadratic functions
Training
8
Calculating coordinates
Calculate the x-coordinate of the point P(x; -3) on the graph of a proportional function with f(x) = - 1.5x
# Proportionality
Training
8
Gaussian Elimination and Matrix Inverse
Find the inverse of a matrix
$A = \begin{bmatrix} 2&1& 1\\-1&0&-{1 \over 2}\\0&0&1\end{bmatrix}$
using Gauss – Jordan Method (write the matrix using decimal numbers).
# Inverse
#
Training
13
Invertible matrices
Consider the matices $A$ and $B$:
$A=\begin{bmatrix}
5 & 3 \\
6 & 4 \\
\end{bmatrix}$
$B=\begin{bmatrix}
5 & -10 \\
-2 & 4 \\
\end{bmatrix}$.
Which of the following is true?
# Inverse
# Determinate
Training
13