Question

Complete the table and then determine which of the following is the graph of ƒ(x) = 2√x

Answer 1

f(0)=0
f(-1) is undefined, so no negatives
f(4)=4

2nd graph

Answer 2

Hi!

The second graph corresponds to ƒ(x) = 2√x.

Explanation:

First, √x for x < 0 does not have solutions on reals numbers.

For example:

x = -4, √-4 does not have solution because (-2)*(-2) = 4 and 2*2 = 4.

The table for ƒ(x) = 2√x

• f(0) = 2√0 = 2*0 = 0

• f(1) = 2√1 = 2*1 = 2

• f(2) = 2√2 = 2*1.41 = 2.82

• f(3) =2√3 = 2*1.73 = 3.46

• f(4) =2√4 = 2*2 = 4

• f(5) =2√5 = 2*2.23 = 4.46