Compare the functions f(x) = x^3 + 1 and g(x) = x + 1. Which of the following state...
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Problem
Compare the functions f(x) = x^3 + 1 and g(x) = x + 1. Which of the following statements is true about the intercepts of the functions?
Step-by-step solution
For f(x) = x^3 + 1, the y-intercept is (0, 1) and the x-intercept is (-1, 0). For g(x) = x + 1, the y-intercept is (0, 1) and the x-intercept is (-1, 0). The statement that the x- and y-intercepts are different for each function is false. The statement that both functions have an x-intercept of (-1, 0) and a y-intercept of (0, 1) is true. The statement that both functions have a y-intercept of (-1, 0) and an x-intercept of (0, 1) is false. The graphs intersect at (1, 2), not (1, 2) as an intercept.
Answer
Both functions have an x-intercept of $(-1, 0)$ and a y-intercept of $(0, 1)$.