Answered

Get reliable answers to your questions at Westonci.ca, where our knowledgeable community is always ready to help. Our platform provides a seamless experience for finding reliable answers from a knowledgeable network of professionals. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

If [tex]f(x) = 5[/tex] when [tex]x \leq 2[/tex] and [tex]f(x) = 2x - 3[/tex] when [tex]x \ \textgreater \ 2[/tex], please evaluate [tex]f(-3)[/tex].

A. 7
B. None of these
C. 5
D. 9
E. -5
F. -9

Sagot :

GinnyAnswer
To evaluate [tex]\( f(-3) \)[/tex], we need to determine which definition of the piecewise function to use based on the value of [tex]\( x \)[/tex].

The function [tex]\( f(x) \)[/tex] is defined as:
[tex]\[ f(x) = 5 \text{ when } x \leq 2 \][/tex]
[tex]\[ f(x) = 2x - 3 \text{ when } x > 2 \][/tex]

Given [tex]\( x = -3 \)[/tex]:
1. First, we check the condition [tex]\( x \leq 2 \)[/tex].
2. Since [tex]\(-3 \leq 2\)[/tex] is true, we use the first part of the piecewise function [tex]\( f(x) = 5 \)[/tex].

Therefore, [tex]\( f(-3) \)[/tex] is evaluated as 5.

The correct answer is:
(C) 5
We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.