Functions: Functions, graphs and transformations

Question 1

What is the domain and range of a mapping?

Answer 1

Question 2

Explain one to one, one to many, many to one and many to many graphs?

Answer 2

Question 3

What is this notation?

Answer 3

Question 4

What does a one to one, many to one, one to many and many to many graph look like?

Answer 4

Question 5

What is y=f(x-a)?

Answer 5

y = f (x − a) is the equation of the graph obtained when the curve y = f (x) is moved a units in the positive x direction

Question 6

What is y = f (x) + b?

Answer 6

y = f (x) + b is the equation of the graph obtained when the curve y = f (x) is moved b units in the positive y direction

Question 7

What is y = af (x)?

Answer 7

y = af (x) is the equation of the graph obtained when the curve y = f (x) is stretched with scale factor a parallel to the y-axis

Question 8

What is f (ax)?

Answer 8

y = f (ax) is the equation of the graph obtained when the curve y = f (x) is stretched with scale factor 1/a parallel to the x-axis

Question 9

What is y = -f(x)?

Answer 9

y = −f (x) is the equation of the graph obtained when the curve y = f (x) is
reflected in the x-axis

Question 10

What is y = f(-x)?

Answer 10

y = f (−x) is the equation of the graph obtained when the curve y = f (x) is
reflected in the y-axis

Question 11

Explain these functions

Answer 11

Question 12

Answer 12

Question 13

Answer 13