Review question

# Can we solve this equation with a sum of square roots? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R6653

## Suggestion

1. Sketch the curve $y = \sqrt{1 - x} + \sqrt{3 + x}$. Use your sketch to show that only one real value of $x$ satisfies $\sqrt{1 - x} + \sqrt{3 + x} = x + 1,$ and give this value.

For what values of $x$ is $y$ defined?

Try evaluating the function $y = f(x)$ for some integer values of $x$. What does this suggest about the function?

Are there any stationary points? If so, where and of what type?