Question #53cdd

1 Answer
Nov 22, 2017

1) yes
2) no
3) no

Explanation:

Linear means the function goes in a straight line.

So for y=1/2(x-4), as there is only one power of x, it just increases steadily with a gradient of 0.5.
graph{1/2x-2 [-5, 10, -5, 5]}

x^2+4 is a quadratic because it has x to the power of 2. Anything with an xsquared will have 2 values for x at each y value. It's a curved line, therefore non-linear.
graph{x^2+4 [-5, 5, -.5, 15]}

sqrt(x)-2 can be written as x^(1/2) -2. Now it's more obvious that we have x to a power, so it's non-linear.

graph{(x)^(1/2)-2 [-10, 10, -5.21, 5.21]}