Which pair of statements describes the end behavior of the graph of the function f(x) = x3 + 2x2 − 5x − 6?
1 answer:
A function assigns the values. The correct option is D.
<h3>What is a Function?</h3>A function assigns the value of each element of one set to the other specific element of another set.
The complete question is:
Which pair of statements describe the end behavior of the graph of the function f(x) = x³ + 2x² − 5x − 6?
A.) As x approaches negative infinity, f(x) approaches infinity. As x approaches infinity, f(x) approaches infinity.
B.) As x approaches negative infinity, f(x) approaches infinity. As x approaches infinity, f(x) approaches negative infinity.
C.) As x approaches negative infinity, f(x) approaches negative infinity. As x approaches infinity, f(x) approaches negative infinity.
D.) As x approaches negative infinity, f(x) approaches negative infinity. As x approaches infinity, f(x) approaches infinity.
If we draw the graph of the given function f(x) = x³ + 2x² − 5x − 6, then it can be observed that as x approaches -∞, f(x) approaches -∞. As x approaches ∞, f(x) approaches infinity.
Hence, the correct option is D.
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Answer:
The first five values are 12, 14, 16, 18 and 20
The recursive formula is as follow
Step-by-step explanation:
Since we need to find the first 5 values we start with n = 1 to n = 5. Note that we don't start from n = 0 as the question states that n ≥ 1.
For the first 5 values we just replace the value of n with 1, 2, 3, 4 and 5 and calculate the answer
The first five values are 12, 14, 16, 18 and 20
A recursive formula is one that
a) Mentions the initial term
b) provides a formula connecting the previous term to the existing term.
Since we know the first term is 12, i.e and we know that the difference between consecutive terms is 2 we can conclude that the recursive formula is made up of the following two formulas
The over all formula is as follow