9000007204
Level:
A
Among the following functions identify an odd function
\(f\) which
satisfies \(f(-2) = 4\).
\(f(x) = -2x\)
\(f(x) = -2x + 1\)
\(f(x) = x + 2\)
\(f(x) = 2x + 8\)
Linear Functions
9000007208
Level:
C
Paul's home is \(6\, \mathrm{km}\) from
the school. At the time \(t = 0\)
Paul starts to walk from his home to the school along a straight street at a constant
velocity \(5\, \mathrm{km}/\mathrm{h}\).
Find the function which describes Paul's remaining distance to the school as a
function of time.
\(s = 6 - 5t\)
\(s = 5t - 6\)
\(s = 5t\)
\(s = 5t + 6\)
9000007802
Level:
A
Consider linear functions \(f(x) = ax - 2\)
and \(g\colon y = -4x + 3\). Find the value of
the real parameter \(a\) which
ensure that the graphs of \(f\)
and \(g\)
are two parallel lines.
\(- 4\)
\(4\)
\(- 2\)
\(2\)
9000007808
Level:
B
Given a function \(f(x) = \frac{x}
{3} + 1\), find
the function \(g\) such that
the graph of \(g\) is symmetric
with the graph of \(f\)
about the \(y\)-axis.
\(g\colon y = -\frac{x}
{3} + 1\)
\(g\colon y = 3x + 1\)
\(g\colon y = -3x + 1\)
\(g\colon y = -\frac{x}
{3} - 1\)
Such a function does not exist.
9000007809
Level:
C
The price of a goods in a shop is \(\$15\)
per item. The Internet price in an e-shop is cheaper by
\(\$2\) per item. The shipping
cost of the e-shop is \(\$125\).
What is the minimal number of items, which makes the total cost for a transaction
smaller in the e-shop?
\(63\)
\(9\)
\(62\)
\(125\)
\(126\)
9000009301
Level:
C
An automatic machine produces \(12\)
components per minute and stores them in a box with capacity
\(1\: 500\)
components. The machine starts with an initial amount of
\(240\)
components in the box. In what time will be the box full?
\(1\, \mathrm{h}\)
\(45\, \mathrm{min}\)
\(1\, \mathrm{h}\)
\(55\, \mathrm{min}\)
\(2\, \mathrm{h}\)
\(5\, \mathrm{min}\)
\(2\, \mathrm{h}\)
\(15\, \mathrm{min}\)
9000005702
Level:
A
Given the linear function \(f(x) = -2x + 3\),
evaluate \(f(2) + f(-2)\).
\(6\)
\(0\)
\(3\)
\(- 8\)
9000005701
Level:
A
Given the linear function \(f(x) = 3x - 2\),
evaluate \(f\left (\frac{1}
{6}\right )\).
\(-\frac{3}
{2}\)
\(- 1\)
\(\frac{1}
{6}\)
\(\frac{5}
{2}\)
9000005801
Level:
A
Given the linear function \(f(x) = -3x + 1\),
evaluate
\[
f(a) + f(1 - a).
\]
\(- 1\)
\(- 3a\)
\(- 6a - 3\)
\(- 2\)
9000005703
Level:
A
Given the linear function \(f(x)= \frac{1}
{2}x - 2\),
evaluate \(f(-4) - f(4)\).
\(- 4\)
\(- 6\)
\(0\)
\(4\)