What is the domain of the function y = 2e^x graphed below

ANSWER

The domain is all real numbers

EXPLANATION

The domain of a function refers to all values of

that make the function defined.

The function given to us is


The above function is an exponential function.

All exponential functions are continuous functions.

This means the function is defined everywhere. There is no break in the graph of this function.

Therefore the domain is the entire real numbers.

In interval form we write it as



We can also write the domain as,

x = 46.033

Step-by-step explanation:

mean score (μ) = 35

standard deviation = 14

shamu scored 20% i.e (0.2)of the test

so

we will take value from the z-table at 0.80 from the left of it.

so z-value comes out to be = .78814

using standard formula

                        x = μ + z × σ

                        x =  35 + 0.78814 × 14

                        x = 46.033