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What are the y-intercept and the asymptote of g(x) = 2x – 3?

User Limitfan
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Final answer:

The y-intercept of the function g(x) = 2x - 3 is (0, -3), and the function does not have an asymptote as it is a linear function without features that could create an asymptote.

Step-by-step explanation:

The student is asking about the y-intercept and the asymptote of the function g(x) = 2x - 3. To find the y-intercept, we set x to 0 and solve for g(x), which gives us g(0) = 2(0) - 3 = -3. Therefore, the y-intercept is (0, -3), which is the point where the line crosses the y-axis. As for the asymptote, since g(x) is a linear function and does not have any denominators that could be undefined or any exponents that could cause the function to approach infinity, it does not have an asymptote.

User Opposite Of You
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