Investigate the limit numerically and graphically.

lim𝑥→±∞16𝑥+14𝑥2+9⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√

limx→±∞⁡16⁢x+14⁢x2+9

Calculate the values of 𝑓(𝑥)=16𝑥+14𝑥2+9⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√f⁡(x)=16⁢x+14⁢x2+9 for 𝑥=±100,x=±100, ±500,±500, ±1000,±1000, and ±10000.and ±10000.

(Use decimal notation. Give your answers to six decimal places.)

𝑓(−100)=f⁡(−100)=

$$Incorrect Answer 𝑓(−500)=f⁡(−500)=$$

Incorrect Answer

𝑓(−1000)=f⁡(−1000)=

$$Incorrect Answer 𝑓(−10000)=f⁡(−10000)=$$

Incorrect Answer

𝑓(100)=f⁡(100)=

$$Incorrect Answer 𝑓(500)=f⁡(500)=$$

Incorrect Answer

𝑓(1000)=f⁡(1000)=

$$Incorrect Answer 𝑓(10000)=$$