Chapter 14 - Exponentials and logarithms

Question 1

What does the function f(x) + b do?

Answer 1

Shifts the function b units upward

Question 2

What does the function f(x) - b do?

Answer 2

Shift the function b units downward

Question 3

What does the function f(x + b) do?

Answer 3

Shifts the function b units to the left

Question 4

What does the function f(x-b) do?

Answer 4

Shifts the function b units to the right

Question 5

What does the function -f(x) do?

Answer 5

Reflects the function in the x-axis (upside down)

Question 6

What does the function f(-x) do?

Answer 6

Reflects the functioning the y-axis (swapping the left and right sides)

Question 7

What does the function af(x), a>1 do?

Answer 7

Stretch vertically by a factor of a

Question 8

What does the function af(x), a<1 do?

Answer 8

Compress vertically by a factor of a

Question 9

What does the function f(ax), a>1 do?

Answer 9

Compress horizontally by a factor of 1/a

Question 10

What does the function f(ax), 0<a></a>

Answer 10

Stretch horizontally by a factor of 1/a

Question 11

What does it mean if a graph has equation y=mx?

Answer 11

It goes through the origin