1103171201
Level:
C
Suppose a train comes to stop uniformly. The instantaneous velocity \( v \) of the train in the time \( t \) of slowing down is modelled by \( v=45-25t \). Find the graph of the function \( v \).
Linear functions
1003171601
Level:
C
Consider the function \( f \) given by \( f(x)=\frac12x+\frac32 \) and consider the line \( p \) that is parallel to the \( x \)-axis and intersects \( y \)-axis at the point \( \left[0;\frac12\right] \). Find the function \( g \) such that the graph of \( g \) is symmetric with the graph of \( f \) about the line \( p \).
\( g(x)=-\frac12x-\frac12 \)
\( g(x)=2x-\frac12 \)
\( g(x)=-\frac12x-\frac32 \)
\( g(x)=\frac12x-\frac32 \)
9000028102
Level:
B
Given graph of the linear function \(f\),
find the solution set of the inequality \(f(x) > 0\).
\((-4;\infty )\)
\(\emptyset \)
\((-4;2)\)
\((-2;\infty )\)
9000028101
Level:
B
Given graphs of the linear functions \(f\)
and \(g\), find the solution
set of the inequality \(f(x) > g(x)\).
\((1;\infty )\)
\(\mathbb{R}\)
\((0;1)\)
\((-\infty ;1)\)
9000028103
Level:
B
Given graphs of the linear functions \(f\)
and \(g\), find the solution
set of the inequality \(f(x) > g(x)\).
\((-\infty ;-2)\)
\(\emptyset \)
\((-4;2)\)
\((-2;\infty )\)
9000028104
Level:
B
Given graphs of the linear functions \(f\)
and \(g\), find the solution
set of the inequality \(f(x)\leq g(x)\).
\((-\infty ;2.4] \)
\(\emptyset \)
\((-\infty ;-2.3] \)
\([ 6;\infty )\)
9000028105
Level:
A
Given graph of the linear function \(g\),
find the solution set of the inequality \(g(x)\leq 0\).
\([ 6;\infty )\)
\(\mathbb{R}\)
\((-\infty ;2.4] \)
\((-\infty ;-2.3] \)
9000028106
Level:
B
Given graphs of the linear functions \(f\)
and \(g\), find the solution
set of the inequality \(f(x)\leq g(x)\).
\(\emptyset \)
\((-\infty ;0] \)
\(\mathbb{R}\)
\([ 0;\infty )\)
9000028107
Level:
B
Given graphs of the linear functions \(f\)
and \(g\), find the solution
set of the inequality \(f(x)\leq g(x)\).
\(\mathbb{R}\)
\(\emptyset \)
\((-\infty ;0] \)
\([ 0;\infty )\)
9000028108
Level:
B
Given graph of the linear function \(f\),
find the solution set of the inequality \(f(x) < 0\).
\(\emptyset \)
\((-\infty ;0] \)
\(\mathbb{R}\)
\([ 0;\infty )\)