The following question is about the rational functionr(x) = (x + 1)(x − 3)(x + 3)(x − 5).The function r has x-intercepts (smaller value)
Question
The following question is about the rational functionr(x) = (x + 1)(x − 3)(x + 3)(x − 5).The function r has x-intercepts (smaller value)
Solution
The x-intercepts of the function r(x) = (x + 1)(x - 3)(x + 3)(x - 5) are the values of x for which r(x) = 0.
To find these, we set each factor of the function equal to zero and solve for x:
- x + 1 = 0, which gives x = -1
- x - 3 = 0, which gives x = 3
- x + 3 = 0, which gives x = -3
- x - 5 = 0, which gives x = 5
So, the x-intercepts of the function are -3, -1, 3, and 5. The smallest value among these is -3.
Similar Questions
The following question is about the rational functionr(x) = (x + 1)(x − 3)(x + 3)(x − 7).The function r has y-intercept
r(x) = (x + 1)(x − 3)(x + 3)(x − 5).The function r has x-intercepts
The following question is about the rational functionr(x) = (x + 1)(x − 3)(x + 3)(x − 7)
Use the graph to estimate any x-intercepts of the rational function. Set y = 0 and solve the resulting equation to confirm your result. (If an answer does not exist, enter DNE.)y = 3xx − 2
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