Question

Complete the table of values for y=2^x

Answer 1

Graph B

Explanation:

You just use the power of the number in the x value, and that's how I filled in the table.

Answer 2

0.5, 1, 2, 4, 8, 16

Graph A

Explanation:

1. Substitute the values of x for x.

2^(-1)= 0.5^1=0.5

2^0=1

2^1=2

2^2=4

2^3=8

2^4=16

2. Reading the graphs

As shown above, none of the equations [2^(-1)....2^5] are negative, so we can rule out graph B.

We also can see that the answers are growing bigger, as 0.5<1<2<4<8<16. This means that the graph must also grow taller, as the bigger the y value is, the taller the graph will be. This represents graph A.