Math Problem Statement
Which statement is true?
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The y intercept of function a is greater than the y intercept of function b.
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The y intercept of function b is greater than the y intercept of function a
Solution
To determine which statement is true, let's analyze the -intercepts of both functions:
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Function A (from the graph):
- The green line in the graph intercepts the -axis at .
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Function B (given as ):
- The equation has a -intercept of , as seen from the constant term when .
Comparison of y-intercepts:
- The -intercept of Function A is .
- The -intercept of Function B is .
Since , the y-intercept of Function A is greater than the y-intercept of Function B.
Answer:
Statement 1 is true: The y-intercept of function A is greater than the y-intercept of function B.
Would you like further explanation on this? Here are some related questions:
- How do you find the y-intercept of a function from its equation?
- What does the slope of a function tell us about its graph?
- How can you determine if two lines are parallel based on their equations?
- What are some methods for finding the x-intercept of a linear function?
- How does the value of the y-intercept affect the graph of a linear function?
Tip: The y-intercept of a linear function is always the constant in the equation.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Functions
Formulas
Slope-intercept form y = mx + b
Theorems
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Suitable Grade Level
Grades 7-9