Are you ready to take your first step toward achieving your goal?
- 10 diagnosis quiz questions
- 10 minutes in duration
- Required to attempt all questions
- A mixture of short answer and multiple-choice questions
- Instant feedback straight after the test
OK, let’s get started now!
Are you ready to take your first step toward achieving your goal?
- Ten diagnosis quiz questions
- Ten minutes in duration
- Required to attempt all questions
- A mixture of short-answer and multiple-choice questions
- Instant feedback straight after the quiz
OK, let’s get started now!
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- Question 1 of 10
1. Question
State whether $y=x-1$ is a function or not.
CorrectIncorrectHint
The relation is a function if each vertical line cuts the graph no more than once.
- Question 2 of 10
2. Question
Given \(f\left( x \right) = ax + b\), \(f\left( 1 \right) = 7\) and \(f\left( 2 \right) = 10\), find \(a \) and \(b\).
\(a = \)
\(b = \)
CorrectIncorrect - Question 3 of 10
3. Question
State the domain and range of \(y = \dfrac{x}{{x + 1}}\).
CorrectIncorrect - Question 4 of 10
4. Question
Find the equation of the graph in red, where the graph of $y=2^x$ is given in blue.
CorrectIncorrectHint
$y=a^x$ is shifted to the right by $b$ units, $y=a^{x-b}$.
$y=a^x$ is shifted to the left by $b$ units, $y=a^{x+b}$.
$y=a^x$ is shifted up by $c$ units, $y=a^x + c$.
$y=a^x$ is shifted down by $c$ units, $y=a^x – c$. - Question 5 of 10
5. Question
Choose vector quantities.
CorrectIncorrect - Question 6 of 10
6. Question
Find the vector equation of the following diagram.
CorrectIncorrect - Question 7 of 10
7. Question
Find \(x\) and \(y\), if \(\overrightarrow {AC} = \left( {\begin{array}{*{20}{c}}
x\\
y
\end{array}} \right)\) given \(\overrightarrow {BA} = \left( {\begin{array}{*{20}{c}}
3\\
-2
\end{array}} \right)\) and \(\overrightarrow {BC} = \left( {\begin{array}{*{20}{c}}
-1\\
6
\end{array}} \right)\).\(x = \) , \(y = \)
CorrectIncorrect - Question 8 of 10
8. Question
Find \(k\), correcting to two significant figures, such a vector \(k\left( {\begin{array}{*{20}{c}}
2\\
{ – 3}\\
2
\end{array}} \right)\) is in the same direction as \(\left( {\begin{array}{*{20}{c}}
2\\
{ – 3}\\
2
\end{array}} \right)\) and with length 4 units.CorrectIncorrect - Question 9 of 10
9. Question
Find \(k\) given \(\vec a = \left( {\begin{array}{*{20}{c}}
k\\
-2\\
5
\end{array}} \right)\) and \(\vec b = \left( {\begin{array}{*{20}{c}}
2\\
3\\
-4
\end{array}} \right)\) are perpendicular.CorrectIncorrectHint
\(\cos \theta = \dfrac{{\vec a \bullet \vec b}}{{\left| {\vec a} \right|\left| {\vec b} \right|}}\)
- Question 10 of 10
10. Question
Find the acute angle, correcting to the nearest degree, between the lines: \(2x + y = 4\) and \(3x + 2y = 7\).
degree(s)
CorrectIncorrectHint
\(\cos \theta = \dfrac{{\left| {\vec a \bullet \vec b} \right|}}{{\left| {\vec a} \right|\left| {\vec b} \right|}}\)