Question

1.) What is the domain and range of the function in the graph?

2.) What is the average rate of change over the interval [1, 0]?

Answer 1

Domain → (-∞, ∞)

Range → (-2, ∞)

Explanation:

1). Domain of a function is defined by the input values (set of x-values) and Range of the function is defined by the output values (set of y-values).

From the graph attached,

Function is defined for all real values of x.

Therefore, domain of the function will be (-∞, ∞).

On y-axis values of the function vary from -2 (excluding 2) to positive infinity.

Therefore, range of the function will be (-2, ∞).

2). Average rate of change of a function in the interval (a, b) is defined by,

Average rate of change =
`(f(b)-f(a))/(b-a)`

By using this expression we can find the average rate of change in the given interval.

Please give the correct interval for which the average rate of change is to be calculated.