Answered

Explore Westonci.ca, the premier Q&A site that helps you find precise answers to your questions, no matter the topic. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

Evaluate [tex]\( f(x) = e^x \)[/tex] when [tex]\( x = -3 \)[/tex]. Round your answer to the nearest hundredth.

Sagot :

GinnyAnswer
To evaluate the function [tex]\( f(x) = e^x \)[/tex] at [tex]\( x = -3 \)[/tex], we need to follow these steps:

1. Substitute [tex]\(-3\)[/tex] into the function: We have [tex]\( f(-3) = e^{-3} \)[/tex].

2. Compute [tex]\( e^{-3} \)[/tex]: The value of [tex]\( e^{-3} \)[/tex], which means raising the mathematical constant [tex]\( e \)[/tex] (approximately equal to 2.71828) to the power of [tex]\(-3\)[/tex], is approximately [tex]\( 0.049787068367863944 \)[/tex].

3. Round the result: To round this result to the nearest hundredth, we look at the thousandths place (which is the third decimal place). If it is 5 or greater, we round the second decimal place up. In this case, the third decimal place is 9, so we round up.

4. Final rounded result: [tex]\( 0.049787068367863944 \)[/tex] rounded to the nearest hundredth is [tex]\( 0.05 \)[/tex].

Thus, the value of [tex]\( f(-3) = e^{-3} \)[/tex] rounded to the nearest hundredth is [tex]\( 0.05 \)[/tex].
Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.