13.4k views
3 votes
The table represents a linear function. What is the end behavior of the linear function?

The table represents a linear function. What is the end behavior of the linear function-example-1
User Lindsy
by
3.3k points

1 Answer

3 votes

Answer:

A. x → ∞, y → ∞

Explanation:

You want the end behavior of the linear function illustrated in the table.

Slope

The table shows that y-values increase as x-values increase. That means the line has a positive slope.

End behavior

The end behavior of any odd-degree polynomial will be a tendency toward infinity with the same sign as the leading coefficient (as x goes to +∞). It will tend in the opposite direction when x goes to -∞.

A linear function is a polynomial function of degree 1 (odd). This one has a positive slope (coefficient of x, leading coefficient), so will tend to +∞ as x goes to +∞.

x → ∞, y → ∞

User Jasper Bernales
by
3.9k points