Question

Graph the system. Use the graph to approximate the solution of the equation log(x + 1) = –x2 + 10

Answer 1

Look at the picture.

Plot a graph of the function y = log (x) and move it by 1 unit to the left.

Plot the graph of the function y = x ^ 2, reflect over the x-axis and move it 10 units up.

The coordinates of the intersection of the graphs is the solution.

Solution:
`x\approx3`

Answer 2

Plot the 2 graphs on the same graph paper.

The solution of the system will be the x coordinate of the point of intersection of the 2 graphs.

The solution is approximately x = 3.