Question

Select the correct answer from each drop-down menu.

Answer 1

Answer:

y = -x⁴ + x² - 2 : D

y = x⁵ + x² + 7 : B

y = x⁶ + 2x³ + 3 : C

Step-by-step explanation:

anyways look at the part with the largest power of x. it will have the biggest impact on the overall value, when x approaches positive or negative infinity.

in the first one this is -x⁴

x⁴ is always positive (for positive and negative x). so, -x⁴ is always negative. therefore, it decreases in both cases when x approaches positive or negative infinity.

in the second one this is x⁵.

this goes with the sign of x. it is getting bigger (it increases), when x approaches positive infinity, and it is getting smaller (it decreases), when x approaches negative infinity.

in the third one this is x⁶.

this is always positive (for positive and negative x). therefore, it increases in both cases when x approaches positive or negative infinity.