Function A and Function B are linear functions. Compare the two functions and choose the 3 true statements.

Question

Responses
A The slope of Function A is greater than the slope of Function B.The slope of Function A is greater than the slope of Function B.
B The slope of Function A is less than the slope of Function B.The slope of Function A is less than the slope of Function B.
C The y-intercept of Function A is greater than the y-intercept of Function B.The y-intercept of Function A is greater than the y-intercept of Function B.
D The y-intercept of Function A is less than the y-intercept of Function B.The y-intercept of Function A is less than the y-intercept of Function B.
E Function B has a greater rate of change than Function A.Function B has a greater rate of change than Function A.
F Function A and Function B have the same y-intercept.

Answer 1

To accurately assess the true statements about Function A and Function B, we need to understand that both functions are linear. Linear functions can be expressed in the form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.

Without specific information regarding the two functions, we cannot definitively determine which statements are true. However, we can derive general relationships based on the slopes and y-intercepts.

Assuming:

• If Function A has a greater slope than Function B, then Statement A is true and Statement B is false.
• If Function A has a lesser slope than Function B, then Statement B is true and Statement A is false.
• The relationship between the y-intercepts can be analyzed in a similar manner.

Based on these considerations, here are three potentially true statements depending on the characteristics of the functions:

1. If the slope comparison holds (e.g., Function A is steeper), then A and E could be true.
2. If the y-intercept comparison holds (e.g., Function A starts higher on the y-axis), then C could be true.
3. If both functions have the same y-intercept, then F could also be true.

If you provide specific information about the slopes and y-intercepts for Functions A and B, I would be able to determine the exact true statements relevant to your question.