Westonci.ca is the Q&A platform that connects you with experts who provide accurate and detailed answers. Explore thousands of questions and answers from a knowledgeable community of experts ready to help you find solutions. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.
Sagot :
To determine whether the given set of ordered pairs represents a function, we need to evaluate whether each unique \( x \)-value corresponds to exactly one unique \( y \)-value. In other words, an \( x \)-value should not map to multiple \( y \)-values for the set to be a function.
Given the set of ordered pairs:
[tex]\[ \{(-5, -5), (-1, -2), (0, -2), (3, 7), (8, 9)\} \][/tex]
Let's examine the \( x \)-values and their corresponding \( y \)-values:
1. For \( x = -5 \), \( y = -5 \)
2. For \( x = -1 \), \( y = -2 \)
3. For \( x = 0 \), \( y = -2 \)
4. For \( x = 3 \), \( y = 7 \)
5. For \( x = 8 \), \( y = 9 \)
We observe the following:
- Each \( x \)-value in the set is unique.
- No \( x \)-value is repeated with a different \( y \)-value.
Since every \( x \)-value in the set corresponds to exactly one \( y \)-value, this set of ordered pairs represents a function.
Hence, the answer is:
C. Yes, because every [tex]\( x \)[/tex]-value corresponds to exactly one [tex]\( y \)[/tex]-value.
Given the set of ordered pairs:
[tex]\[ \{(-5, -5), (-1, -2), (0, -2), (3, 7), (8, 9)\} \][/tex]
Let's examine the \( x \)-values and their corresponding \( y \)-values:
1. For \( x = -5 \), \( y = -5 \)
2. For \( x = -1 \), \( y = -2 \)
3. For \( x = 0 \), \( y = -2 \)
4. For \( x = 3 \), \( y = 7 \)
5. For \( x = 8 \), \( y = 9 \)
We observe the following:
- Each \( x \)-value in the set is unique.
- No \( x \)-value is repeated with a different \( y \)-value.
Since every \( x \)-value in the set corresponds to exactly one \( y \)-value, this set of ordered pairs represents a function.
Hence, the answer is:
C. Yes, because every [tex]\( x \)[/tex]-value corresponds to exactly one [tex]\( y \)[/tex]-value.
Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.