sat suite question viewer
Algebra
/ Linear functions
Difficulty: Medium
The function is defined by . What is the -coordinate of the -intercept of the graph of in the -plane?
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Explanation
The correct answer is . The y-intercept of the graph of in the xy-plane is the point where the graph of crosses the y-axis, which occurs at . It’s given that the function is defined by . Substituting for and for in this equation yields , or . It follows that when and that the y-intercept of the graph of in the xy-plane is . Therefore, the y-coordinate of the y-intercept of the graph of in the xy-plane is .