# IDENTIFYING FUNCTIONS WORKSHEET WITH ANSWERS

Question 1 :

Let A  =  {1, 2, 3, 4} and B  =  {a, b, c}.

Consider the relation R given below which maps the elements from A to B.

R  =  {(1, a), (2, b), (3, c), (4, b)}

Determine whether the relationship R is a function.

Question 2 :

Determine whether the relationship given in the mapping diagram is a function.

Question 3 :

Determine whether the relationship given in the mapping diagram is a function.

Question 4 :

Determine whether the relationship given in the mapping diagram is a function.

Question 5 :

Use the vertical line test to determine which of the following graphs represent a function.

Question 6 :

Use the vertical line test to determine which of the following graphs represent a function.

Question 7 :

Use the vertical line test to determine which of the following graphs represent a function.

Question 8 :

Determine whether the relationship given in the table is a function.

Question 1 :

Let A  =  {1, 2, 3, 4} and B  =  {a, b, c}.

Consider the relation R given below which maps the elements from A to B.

R  =  {(1, a), (2, b), (3, c), (4, b)}

Determine whether the relationship R is a function.

In the above relation R,

Domain (R)  =  A

And also, every element of A has only one image in B.

So, the relation R is a function.

It has been illustrated in the picture shown below.

Question 2 :

Determine whether the relationship given in the mapping diagram is a function.

Solution :

Since each input value is paired with only one output value, the relationship given in the above mapping diagram is a function.

Question 3 :

Determine whether the relationship given in the mapping diagram is a function.

Solution :

Since 2 is paired with more than one output value (both 20 and 40), the relationship given in the above mapping diagram is not a function.

Question 4 :

Determine whether the relationship given in the mapping diagram is a function.

Since the input value "c" is not paired with any output value, the relationship given in the above mapping diagram is not a function.

Question 5 :

Use the vertical line test to determine which of the following graphs represent a function.

The given graph does not represent a function as a vertical line cuts the graph at two points P and Q.

Question 6 :

Use the vertical line test to determine which of the following graphs represent a function.

The given graph represents a function as any vertical line will intersect the graph at most one point P.

Question 7 :

Use the vertical line test to determine which of the following graphs represent a function.

The given graph does not represent a function as a vertical line cuts the graph at two points A and B.

Question 8 :

Determine whether the relationship given in the table is a function.

Solution :

Since each input value is paired with only one output value, the relationship given in the above table is a function.

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WORD PROBLEMS

Word problems on simple equations

Word problems on linear equations

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation

Word problems on unit price

Word problems on unit rate

Word problems on comparing rates

Converting customary units word problems

Converting metric units word problems

Word problems on simple interest

Word problems on compound interest

Word problems on types of angles

Complementary and supplementary angles word problems

Double facts word problems

Trigonometry word problems

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Profit and loss word problems

Markup and markdown word problems

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

Pythagorean theorem word problems

Percent of a number word problems

Word problems on constant speed

Word problems on average speed

Word problems on sum of the angles of a triangle is 180 degree

OTHER TOPICS

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

Time, speed and distance shortcuts

Ratio and proportion shortcuts

Domain and range of rational functions

Domain and range of rational functions with holes

Graphing rational functions

Graphing rational functions with holes

Converting repeating decimals in to fractions

Decimal representation of rational numbers

Finding square root using long division

L.C.M method to solve time and work problems

Translating the word problems in to algebraic expressions

Remainder when 2 power 256 is divided by 17

Remainder when 17 power 23 is divided by 16

Sum of all three digit numbers divisible by 6

Sum of all three digit numbers divisible by 7

Sum of all three digit numbers divisible by 8

Sum of all three digit numbers formed using 1, 3, 4

Sum of all three four digit numbers formed with non zero digits

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6