Use a calculator to evaluate the function at the indicated values h(x)=e^{x}.\ h(1),\ h(\pi),\ h(-3),\ h(\sqrt{2})

Zoe Oneal

Zoe Oneal

Answered question

2021-08-03

Calculate the function's value at the specified points using a calculator. To three decimals, round your response.
h(x)=ex. h(1), h(π), h(3), h(2)

Answer & Explanation

Macsen Nixon

Macsen Nixon

Skilled2021-08-04Added 117 answers

Step 1
Approach:
Exponential functions:
The exponential function with base a is defined for all real numbers x by,
f(x)=ax
Where a>0 and aq1
Step 2
Calculation:
Given,
h(x)=ex
We use a calculator to obtain the values of h(1), h(π), h(3), h(2).
Values of h(x) Exponential function Calculator keystrokes Output
Value of h(x)Exponential functionCalculator keystrokeOutputh(1)h(x)=exh(1)=e1h(1)=2.7183e12.7183h(π)h(x)=exh(π)=eπh(π)=23.1407eπ23.1407h(3)h(x)=exh(3)=e3h(3)=0.0498e(3)0.0498h(2)h(x)=exh(2)=e2h(2)=4.1133e(2)4.1133
Thus,
h(1)=2.718
h(π)=23.141
h(3)=0.049
h(2)=4.113

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