( a ) Complete the table of values for y = 3^x [ 3 ]
x
-2
-1.5
-1
-0.5
0
0.5
1
1.5
2
y 0.111
0.2
0.333 0.577 1 1.723 3
5.2
9
( b ) Use your table to complete the graph of y = 3^x for -2 ≤ x ≤ 2 .
[ 2 ]
( c ) Use the graph to find the solution of the equation.
3^x = 6
1 answer
From the graph, we can see that 3^x is between 5.2 and 9 when x is between 1.5 and 2. Therefore, the solution to the equation 3^x = 6 is x ≈ 1.7007.
1 answer