Question

Match the relation between distance and time taken by 3 bikes given in equation form with their function.

• A. Increasing function
• B. Constant function
• C. Decreasing function

Answer 1

A function is said to be an increasing function if it has positive slope.

A function is said to be a decreasing function if it has negative slope.

A function is said to be a constant function if it has zero slope.

Let us consider y = 14x.

It is in the form y = mx + b, where "m" is the slope and "b" is the y-intercept.

Here, slope (m) = 14, which is a positive value.

So, y = 14x is an increasing function.

Let us consider y = 14.

It is in the form y = mx + b, where "m" is the slope and "b" is the y-intercept.

Here, slope (m) = 0

So, y = 14 is a constant function.

Let us consider y = -14x

It is in the form y = mx + b, where "m" is the slope and "b" is the y-intercept.

Here, slope m = -14, which is a negative number.

So, y = -14x is a decreasing function.

Tabulating the functions into their type, we observe:

Increasing Function	Decreasing function	Constant function
$y=14x$	$y=-14x$	$y=14$