Increasing and Decreasing Functions

A function is said to be increasing if the values of y (a)   when we increase the x- values

A function is said to be (a)   if the values of y increase when we increase the x- values

A function is called decreasing if the y values (a)   when x value is decreased

An increasing function can be related to the following

• Inverse variation

• Direct variation

• Direct proportion

• Indirect proportion

• Inverse proportion

If the derivative of a function is always positive, the function is always (a)  

If the derivative of a function is always (a)   , the function is always decreasing

Every function can be classified as either increasing or decreasing

• True

• False

If the gradient of a function is equal to zero, then the function is neither increasing nor decreasing.

• True

• False

• Sometimes true

• sometimes false

A function can have increasing and decreasing phases only.

• True

• False

 $e^x\ is$  a/an

• increasing function

• decreasing function

• neither increasing nor decreasing

• none of the above