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5 votes
Which function is represented by the graph?

a. f(x) = 3/2x + 1
b. f(x) = -3/2x - 1
c. f(x) = x + 5
d. The graph does not represent a function

1 Answer

2 votes

Final answer:

To find the correct function for a graph, identify the slope and y-intercept for linear functions, or determine if the graph doesn't match typical function behavior and thus 'd' may be the answer.

Step-by-step explanation:

To determine which function is represented by a graph without seeing the specific graph, I can explain how to analyze the characteristics of each function and match them to the graph's visual properties.

Functions a and b represent straight lines where the number in front of x (the coefficient) indicates the slope and the constant term indicates the y-intercept. Function c has a positive slope and a positive y-intercept, making the line go upwards as x increases.

Function d suggests that the graph does not represent a function which might indicate either a vertical line or something that fails the vertical line test.

User Stephan Olsen
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