x%09f(x)=x3+1%09g(x)=x+1%0D%0A−2%09−7%09−1%0D%0A−1%090%090%0D%0A0%091%091%0D%0A1%092%092%0D%0A2%099%093%0D%0ACompare the functions f(x)=x3+1 and g(x)=x+1. Which of the following statements is true about the intercepts of the functions?
The intercept of a function occurs when the value of the function equals zero. To find the intercepts of the functions f(x) and g(x), we substitute x=0 into each function.
For f(x)=x^3+1:
f(0) = 0^3 + 1 = 1
For g(x)=x+1:
g(0) = 0 + 1 = 1
Therefore, the intercepts of both functions f(x) and g(x) occur at x=0, and the statement "The intercepts of both functions occur at x=0" is true.