The following question is about the rational functionr(x) = (x + 1)(x − 3)(x + 3)(x − 7).The function r has y-intercept
Question
The following question is about the rational function
.
The function r has y-intercept
Solution
The y-intercept of a function is the point where the graph of the function intersects the y-axis. For any function, this occurs when the input (or x-value) is 0.
So, to find the y-intercept of the function r(x) = (x + 1)(x − 3)(x + 3)(x − 7), we substitute x = 0 into the function:
r(0) = (0 + 1)(0 − 3)(0 + 3)(0 − 7) = 1 * -3 * 3 * -7 = 63
Therefore, the y-intercept of the function r(x) is 63.
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