Which of the following describes the function x3 − 8? (10 points)
1 answer:
Answer:
a. The degree of the function is odd, so the ends of the graph continue in opposite directions. Because the leading coefficient is positive, the left side of the graph continues down the coordinate plane and the right side continues upward.
Step-by-step explanation:
The given cubic polynomial function is
The degree of this function is odd because 3 is an odd number.
Therefore the ends of the graph, continue in opposite direction.
As x-values gets bigger and bigger negatively, the graph continues down on the Left.
As x-values gets bigger and bigger positively, the graph continues up on the right.
Therefore the correct option is A.
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Answer:
Last option is the correct answer:
The graph of G (x) is the graph of f(x) shifted 2 units to the left
Step-by-step explanation:
We know that for any parent function f(x) the graph of the transformed function:
is a shift of the the parent function f(x) either to the left or the right depending on the value of a.
if a>0 then the shift is 'a' units to the left
and if a<0 then the shift is 'a' units to the right.
Here we have transformed function G(x) as:
i.e. a=2>0.
Hence, the graph of G (x) is the graph of f(x) shifted 2 units to the left.