Linear functions

2000000806

Level: 
A
Consider the linear function \(f(x)=-x+3\). Choose the incorrect statement.
The function \(f\) is increasing.
The intercept of \(f\) with \(x\)-axis has coordinates \([3;0]\).
The function \(f\) is one-to-one function.
The intercept of \(f\) with \(y\)-axis has coordinates \([0;3]\).

2000003102

Level: 
A
Which of the functions \(f\), \(g\), \(h\), \(k\), \(m\) are increasing as well as bounded functions? \[f(x)=5,~x\in [ 0; \infty)\] \[g (x)=0.3x-3,~x\in [ 0;6 ]\] \[h (x)=-0.4+5,~x\in (-\infty; 3]\] \[k (x)=3x+2,~x\in [ -3;5)\] \[m (x)=12x+4,~x\in [ 0; \infty)\]
\(g\), \(k\)
\(f\), \(g\), \(k\), \(m\)
\(g\), \(k\), \(m\)
\(f\), \(h\)

2000003103

Level: 
A
Which of the functions \(f\), \(g\), \(h\), \(k\), \(m\), \(n\) are decreasing, have minimum and are bounded functions? \[f (x)=-3,~x \in \mathbb{R}\] \[g (x)=-0.3x-3,~x \in [ 0;6 ]\] \[h (x)=-0.4x+5,~x \in (-\infty ;3 ]\] \[k (x)=3x+2,~x \in [ -3;5)\] \[m (x)=-12x+4,~x \in [ 0;\infty)\] \[n (x)=-2x+4,~x \in (0;7 ]\]
\(g\), \(n\)
\(f\), \(g\), \(h\), \(m\), \(n\)
\(g\)
\(k\), \(n\)