eAssessment topics practice
Exponents
Simplify the following. Write your answer in the form where a is prime and b is an integer.
Uncertainty and Measurement
A standard ruler has an uncertainty of 0.5 mm.
Uncertainty
A notebook is measured with a standard ruler and its length is measured to be 11.4 cm. Therefore, we know that the length of the notebook is x, in the form: a < x < b, where a, b, and x are measured in cm. Write down the values of the real numbers a and b. Give your answer to two decimal places.
Functions
The following questions are about functions
The graph of y = f(x) is shown.
There is a vertical asymptote at and a horizontal asymptote at
![Image](https://stage.geogebra.org/resource/eCyzFXH6/ER2TKa2PLcQaWSNC/material-eCyzFXH6.png)
Write down the domain and the range of f(x).
Given that and , show that
Find and write down its domain.
is shown. Its asymptotes are shown as dashed lines. Write down the equations of its asymptotes.
![Image](https://stage.geogebra.org/resource/xXAfZuuZ/ussLUjnWGZ1HeDv3/material-xXAfZuuZ.png)
Reflection
![Note: The Polygon tool can be found in the Polygon menu, as shown in yellow.](https://stage.geogebra.org/resource/nZaKMbzd/vTz2sXHtBBzdPMpW/material-nZaKMbzd.png)
Reflection in the y-axis
The object A is shown. The object A' is produced by reflecting A in the y-axis. Use the Polygon tool to draw the object A'.
Functions
The following image shows the graph of where .
The line is a vertical asymptote of the graph.
Write down the value of .
The graph has a y-intercept at point B (0, 4), as shown. Calculate the value of .
Write down the equation of the horizontal asymptote.