The end behavior of a polynomial function is the behavior of the graph of as approaches positive infinity or negative infinity. The degree and the leading coefficient of a polynomial function determine the end behavior of the graph.
Degree - 3 (odd);
Leading coefficient - 2 (positive).
Then
See attached graph of the function for graphical illustration.
Answer:
a) 0.68
b) 0.08
c) 0.74
Step-by-step explanation:
Given that:
Probability of hitting bulls eye, P(B) = 0.26
Probability of an inner, P(I) = 0.42
Probability of an outer, P(O) = 0.24
a) Probability of hitting an inner or better (inner or bulls eye):
P(I or B) = P(I B)
Formula for P(P Q) where P(P) and P(Q) are the probabilities of two mutually exclusive events i.e. having nothing in common:
<em>P(P </em><em> Q) = P(P) + P(Q)</em>
P(I B) = P(I) + P(B) = 0.26 + 0.42 = <em>0.68</em>
b) Probability of failing to hit the target:
P(F) = 1 - (P(B)+P(I)+P(O))
P(F) = 1 - (0.26 + 0.42 + 0.24)) = 1 - 0.92 = <em>0.08</em>
c) Probability of failing to score a bulls eye:
P(B)' = 1 - P(B) = 1 - 0.26 = <em>0.74</em>
So, the answers are:
<em>a) 0.68</em>
<em>b) 0.08</em>
<em>c) 0.74</em>