Answer:
Negative and positive
Step-by-step explanation:
Complete the statements about the key features of the graph of f(x) = x5 – 9x3.
As x goes to negative infinity, f(x) goes to "NEGATIVE" infinity, and as x goes to positive infinity, f(x) goes to "POSITIVE" infinity.
The complete statement is:
As x goes to negative infinity, f(x) goes to negative infinity, and as x goes to positive infinity, f(x) goes to positive infinity
The function is given as:
[tex]f(x) = x^5 - 9x^3[/tex]
Set x to 2
So, we have:
[tex]f(2) = 2^5 - 9(2)^3[/tex]
[tex]f(2) = -40[/tex]
Set x to 5
[tex]f(5) = 5^5 - 9(5)^3[/tex]
[tex]f(5) = 2000[/tex]
Notice that, as the value of x increases from 2 to 5, the function increases from -40 to 2000
Hence, the texts that complete the blanks are (a) negative and (b) positive, respectively
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