2000003107
Level:
A
There are three graphs of the linear functions in the picture. Choose the formula (equation) of the function which is not in the picture.
\(y=-2x+2\)
\(y=-x+2\)
\(y=2x\)
\(y=2x+2\)
Linear functions
2000003106
Level:
A
There is a graph of a linear function in the picture. Find the formula (equation) for this function.
\(y=-x+2\)
\( y=2x+4\)
\( y=-2x+4\)
\(y=-2x+2\)
2000003105
Level:
A
There is a graph of a linear function in the picture. Find the formula (equation) for this function.
\(y=7x\)
\( y=x+7\)
\( y=7x+1\)
\(7y=x\)
2000003104
Level:
A
Find range of the function \(m (x)= 7x+1,~x \in (0;7]\).
\(H(m) = (1;50 ] \)
\(H(m) = [ 1;50 ) \)
\(H(m) = [ 1;50 ] \)
\(H(m) = (0;7 ] \)
2000003103
Level:
A
Which of the functions \(f\), \(g\), \(h\), \(k\), \(m\), \(n\) are decreasing, have minimum and are bounded functions?
\[f (x)=-3,~x \in \mathbb{R}\]
\[g (x)=-0.3x-3,~x \in [ 0;6 ]\]
\[h (x)=-0.4x+5,~x \in (-\infty ;3 ]\]
\[k (x)=3x+2,~x \in [ -3;5)\]
\[m (x)=-12x+4,~x \in [ 0;\infty)\]
\[n (x)=-2x+4,~x \in (0;7 ]\]
\(g\), \(n\)
\(f\), \(g\), \(h\), \(m\), \(n\)
\(g\)
\(k\), \(n\)
2000003101
Level:
A
Which of the functions
\[f (x)=5,\]
\[g(x)= 0.3x-3,\]
\[h (x)=-0.4x+5,\]
\[k (x)=-3x+2,\]
\[m (x)=12x+4\]
are increasing?
\(g\), \(m\)
\(h\), \(k\)
\(f\), \(g\), \(m\)
\(f\), \(k\), \(m\)
2000003102
Level:
A
Which of the functions \(f\), \(g\), \(h\), \(k\), \(m\) are increasing as well as bounded functions?
\[f(x)=5,~x\in [ 0; \infty)\]
\[g (x)=0.3x-3,~x\in [ 0;6 ]\]
\[h (x)=-0.4+5,~x\in (-\infty; 3]\]
\[k (x)=3x+2,~x\in [ -3;5)\]
\[m (x)=12x+4,~x\in [ 0; \infty)\]
\(g\), \(k\)
\(f\), \(g\), \(k\), \(m\)
\(g\), \(k\), \(m\)
\(f\), \(h\)
2000000810
Level:
A
Consider a function \(f(x)=ax+b\), where \(x \in (-1;4)\) and the range of \(f\) is \((-3;2)\). Find the coefficients \(a\) and \(b\).
\(a=-1,~b=1\)
\(a=-1,~b=4\)
\(a=2,~b=-3\)
\(a=1,~b=2\)
2000000809
Level:
A
Consider the linear function \(f(x)=3x-2\). Which of the given points belongs to the graph of \(f\)?
\([-2;-8]\)
\([-2;0]\)
\(\left[0;-\frac{2}{3}\right]\)
\(\left[0;-\frac{4}{3}\right]\)
2000000808
Level:
A
Consider the linear function \(f(x)=-6x-2\). Choose the correct statement.
\(f(3)=-20\)
\(f(-2)=-14\)
\(f(10)=-2\)
\(f(-2)=0\)