Question

James was asked to describe a function. He indicated that end behavior was as x → [infinity], f(x) → [infinity] and as x → -[infinity] f(x) → [infinity]. He also said that the function was increasing over the interval (-[infinity], 4) and decreasing from (4, [infinity]) what feedback would you give James about his answer ?

Answer 1

James correctly describes the end behavior and increasing/decreasing intervals of the function.

Step-by-step explanation:

I would give James positive feedback for his answer, as it correctly identifies the end behavior of the function. When x approaches positive infinity, f(x) also approaches positive infinity, and when x approaches negative infinity, f(x) also approaches positive infinity. James also correctly states that the function is increasing over the interval (-∞, 4) and decreasing from (4, ∞). This indicates that the function is trending upwards to the left of 4 and downwards to the right of 4.