Consider the function shown - HSC - SSCE Mathematics Advanced - Question 1 - 2024 - Paper 1
Question 1
Consider the function shown.
Which of the following could be the equation of this function?
A. y = 2x + 3
B. y = -2x - 3
C. y = -2x + 3
D. y = -2x - 3
Worked Solution & Example Answer:Consider the function shown - HSC - SSCE Mathematics Advanced - Question 1 - 2024 - Paper 1
Step 1
Identify the slope and y-intercept
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Answer
From the graph, we observe that the line has a negative slope and crosses the y-axis at a positive value. This indicates that the slope of the equation is negative.
Step 2
Evaluate the options
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Answer
Let's analyze each option:
A. y=2x+3 (positive slope) - Not possible.
B. y=−2x−3 (negative slope, negative y-intercept) - Not possible.
C. y=−2x+3 (negative slope, positive y-intercept) - Possible match.
D. y=−2x−3 (negative slope, negative y-intercept) - Not possible.
Step 3
Conclusion
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Answer
Based on the analysis, the only viable option is C: y=−2x+3. Thus, the equation of the function could be given by option C.
