Please help! Grade 9 Algebra: Comparing Quadratic and Exponential & Describing Situations With Quad Functions

Question

x 5x² 2^x

--------------------------------

1 5 2

2 20 4

3 45 8

4 80 16

Tyler creates a table comparing values of the expressions 5x² and 2^x. Tyler concludes that 5x² will always have larger output values than 2^x for the same value of x.

Do you agree with Tyler? Explain your reasoning.

Answer 1

How about x = 0? 5(0)² = 0

vs. 2^x = 2⁰= 1

Answer 2

6 5(36)= 180 2^6=64

7 5(49)=245 2^7= 128

8 5(64)=320 2^8= 256

9 5(81)= 405 2^9= 512

10 5(10)=500 2^10= 1024

2^x > 5x^2 at higher values of x, at 8 or above

0 5(0^2)=0 2^0 = 1, x=0 has 2^2 > 5x^2