Choose the correct graph of the function y=x^3+1
2 answers:
Answer:
Step-by-step explanation:
The function y = x3 + 1 is a cubic function of the form y = ax³ + d, where "a" is the main coefficient; while "d" is the independent term. The value of "a" indicates whether the graph is "wider" or "thinner". Also the positive or negative sign of "a" will indicate how the curve will be. This is shown in one of the attached images.
The constant "d" in the equation is the intercept in "y" of the graph. In this case the value of "d" is 1, indicating that in 1 the curve crosses the axis "y".
Taking into account what was previously stated, it is possible to determine the function curve. It is possible to see that it intersects the "x" axis at -1. To obtain this value analytically simply replace "y" with the zero value y, by isolating the value of "x", it is possible to obtain that value.
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