Answered

Discover the answers to your questions at Westonci.ca, where experts share their knowledge and insights with you. Get immediate and reliable answers to your questions from a community of experienced professionals on our platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A 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 revisit us for more reliable answers to any questions you may have. We appreciate your time. Please come back anytime for the latest information and answers to your questions. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.