Question

use the portion of the exponential graph below to answer questions 1. what is the domain 2. what is the range

Answer 1

Given:

Exponential graph.

Find-: 1) Domain

2) Range

Sol:

1)

Domain - The domain of a function is the set of its possible inputs, i.e., the set of input values where for which the function is defined. In the function machine metaphor, the domain is the set of objects that the machine will accept as inputs.

The input value is shown in the x-axis so in given graph possible value of x is:

`\begin{gathered} \text{ Domain is:} \\ x\in[-1,3] \end{gathered}`

2)

Range - The range of a function is the set of outputs the function achieves when it is applied to its whole set of outputs. In the function machine metaphor, the range is the set of objects that actually come out of the machine when you feed it all the inputs.

Output value for function is shown in y-axis

`\begin{gathered} \text{ Range is:} \\ y\in[6,27] \end{gathered}`