# eAssessment topics practice

- Author:
- Mick Purcell

## 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

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.

Reflection

## 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.