Question

The equation for an exponential function is w(x) = 5 · (1.25)x + 4. Which statement correctly describes the end behavior of the function?

As x → –∞, w(x) → ∞, and as x → ∞, w(x) → 5.
As x → –∞, w(x) → ∞, and as x → ∞, w(x) → 4.
As x → –∞, w(x) → 5, and as x → ∞, w(x) → ∞.
As x → –∞, w(x) → 4, and as x → ∞, w(x) → ∞.

Answer 1

As x → -∞, 5(1.25)^x→ 0 and as x → ∞, 5(1.25)^x→ ∞

So:

As x → –∞, w(x) → 4, and as x → ∞, w(x) → ∞.

Explanation:

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Answer 2

Explanation:

As x → -∞, 5(1.25)^x→ 0 and as x → ∞, 5(1.25)^x→ ∞

So:

As x → –∞, w(x) → 4, and as x → ∞, w(x) → ∞.