Question

select the correct answer.

if the function \\(y = x^a - 31\\) is a linear function, what is the value of \\(a\\)?

1
2
3
4

Explanation:

Identify the definition of a linear function

A linear function has the general form \(y = mx + b\), where the variable \(x\) is raised to the power of 1.

Compare the given function to the definition

The given function is \(y = x^a - 31\). For this to represent a linear function, the exponent of \(x\) must be equal to 1.

Solve for the exponent variable

$$ a = 1 $$

Answer:

• (A) 1 (Correct answer)
• (B) 2
• (C) 3
• (D) 4