End of Term Math Quiz

The average value of a summed set of data is known as the:

• mean

• mode

• median

• range

What is the mean of the following data set?

[9, 14, 5, 10, 6, 13, 3, 11, 1]

(a)  

What is the mode of the following data set?

[3, 4, 7, 3, 9, 7, 4, 3, 5]

(a)  

Answer explanation

The mode is the most frequently occurring term in a data set. Hence, the mode of the presented set is 3.

What is the median of the following data set?

[2, 3, 6, 7, 9, 11, 14, 16, 21, 25]

• 7

• 9

• 10

• 11

Answer explanation

The median refers to the middle term of an ordered data set. When presented with a data set with an even number of elements, the median is the average of the two middlemost values. In this case, the mean of 9 and 11 - which is 10.

Which of the following types of relations can act as a function?

• one-to-one

• one-to-many

• many-to-many

• many-to-one

Answer explanation

A relation defines the relationship between sets of values of ordered pairs. The collection of the first numbers - input - is known as the domain and the second set - output - is the range. A relation becomes a function when ONE output value can be derived from each input value. (Seen through one-to-one and many-to-one relations).

True or False: The range of a function can be represented as f(x). Type 'T' for True and 'F' for False.

(a)  

Answer explanation

The range of a function is the set of outputs the function achieves when it is applied to its domain (original set of outputs). Where the domain can represented by x, the range is the function of x or f(x).

True or False: The vertical line test through the graph of a relation determines if it is a function or not.

(a)  

Answer explanation

The vertical line test is a method that is used to determine whether a given relation is a function or not. A vertical line is drawn, cutting through the graph of a relation, and then the points of intersections are observed.

The vertical line test supports the definition of a function. That is, every x-value of a function must be paired to a single y-value. If a vertical line intersects the graph of a relation at exactly one point, it implies that a single x-value is only paired to a unique value of y.

What is the value of f(3) where f(x) = x² - 5

• 3

• 4

• 5

• 6

What is the value of x where f(x) = 4x + 7 = 19?

• -1

• 1

• 3

• 5

Which step is NOT involved in finding the inverse of a function [f(x) > f^-1(x)]?

• Switching the x and f(x) values.

• Solving for x in the new position.

• Multiplying the function by -1.

• Renaming the newly formed function.

Answer explanation

An inverse function (or an anti-function) is defined as a function, which can reverse into another function. It can be derived through the following steps:

1. 1. Switching the values of x and f(x).

2. 2. Solving the new equation for x.

3. 3. Renaming the final equation to f^-1(x) - representing the inverse.