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?
\(g\), \(m\)
\(h\), \(k\)
\(f\), \(g\), \(m\)
\(f\), \(k\), \(m\)
Linear functions
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.
\(f(3)=-20\)
\(f(-2)=-14\)
\(f(10)=-2\)
\(f(-2)=0\)
2000000807
Level:
A
Consider the linear function \(f(x)=-2x+6\). Choose the correct statement.
The function \(f\) is one-to-one.
The function \(f\) is even.
The function \(f\) is odd.
The function \(f\) is increasing.
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 \([0;3]\).
2000000805
Level:
A
Determine the coefficient \(k\) so that the graph of the function \(f(x)=kx+2\) passes through the point \(A=[-2;6]\).
\(k=-2\)
\(k=\frac{2}{3}\)
\(k=2\)
\(k=-4\)
2000000804
Level:
A
Given \(f(x)=2x+1\) and \(g(x)=x+5\), find the point \(P\) at which graphs \(f\) and \(g\) intersect.
\(P=[4;9]\)
\(P=[2;5]\)
\(P=[9;-4]\)
\(P=[9;4]\)
2000000803
Level:
A
For a linear function \(f\) is given \(f(2)=4\) and \(f(1)=0\). Find the intersection point \(P\) of the graph of \(f\) with the \(y\)-axis.
\(P=[0;-4]\)
\(P=[-4;0]\)
\(P=[0;1]\)
\(P=[1;0]\)