INTRODUCTION TO FUNCTIONS WORKSHEET

Problem 1 :

Graph each point :

M(3, 4), N(-2, 0)

Problem 2 :

Name the quadrant in which each point lies.

Problem 3 :

A caricature artist charges his clients a $5 setup fee plus $10 for every person in a picture. Write a rule for the artist’s fee. Write ordered pairs for the artist’s fee when there are 1, 2, 3, and 4 people in the picture.

Problem 4-5 : Generate ordered pairs for each function using the given values for x. Graph the ordered pairs and describe the pattern.

Problem 4 :

y  =  4x - 3 ; x = -1, 0, 1, 2

Problem 5 :

y  =  2x² + 1 ; x = -2, -1, 0, 1, 2

Problem 6 :

y  =  |x + 3| ; x = -5, -4, -3, -2, -1

Detailed Answer Key

Problem 1 :

Graph each point :

M(3, 4), N(-2, 0)

Solution :

Problem 2 :

Name the quadrant in which each point lies.

Solution :

P -----> Quadrant III

Q -----> Quadrant II

R -----> No Quadrant (x-axis)

S -----> Quadrant IV

T -----> Quadrant I

U -----> Quadrant I

V -----> Quadrant III

W -----> Quadrant II

Problem 3 :

A caricature artist charges his clients a $5 setup fee plus $10 for every person in a picture. Write a rule for the artist’s fee. Write ordered pairs for the artist’s fee when there are 1, 2, 3, and 4 people in the picture.

Solution :

Let y represent the artist’s fee and x represent the number of people in a picture.

Artist’s fee is $5 plus $10 for each person.

y  =  5 + 10 · x

y  =  5 + 10x

Problem 4 :

y  =  4x - 3 ; x = -1, 0, 1, 2

Solution : 

The points form a straight line.

Problem 5 :

y  =  2x² + 1 ; x = -2, -1, 0, 1, 2

Solution : 

The points form a U shape.

Problem 6 :

y  =  |x + 3| ; x = -5, -4, -3, -2, -1

Solution : 

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.