Find the constant such that the function
Is continuous on the entire real line.

Question

Find the constant  such that the function ​  ​
Is continuous on the entire real line.
​

Quizplus · Accepted Answer

For a polynomial function to be continuous on the entire real line, it is necessary that the degree of the polynomial function is at least 1 and that the coefficient of the term with the highest degree is nonzero.

The given function 11eac44f_ede9_467a_bedf_ad025c4b9124_TB7497_00 has a degree of 4.

To ensure continuity, we need the coefficient of the term with the highest degree (which is the term with x^4) to be nonzero. The coefficient of this term is 11eac44f_ede9_1f69_bedf_ed220d0be562_TB7497_00.

Therefore, the answer is E) 15, since 15 is the only nonzero option provided.

Find the Constant Such That the Function ​

Find the Constant Such That the Function