Algebra-1

Let's examine the end behavior of the function y = 4x⁷.

As x approaches positive infinity (x → +∞), the values of x become larger and larger. When we raise these large positive values to the power of 7, and 4 is the positive number, the resulting values become even larger. In other words, as x becomes larger and larger, y grows without bound in the positive direction. Mathematically, we can express this as y → + ∞ as x → +∞.

Similarly, as x approaches negative infinity (x → -∞), the values of x become more and more negative. When we raise these large negative values to the power of 7, and 4 is the positive number, ...