Question

For x > 0, which of these statements best describe the graph of y = x0.25?

Answer 1

Answer:

The slope is greater than zero and it is decreasing

Explanation:

The equation is y = x^0.25

This can also be written as y = x^(1/4).

Since x>0 therefore we can say that x = 1 or 2 or 3 or 4

when x = 1, y = 1

when x = 2, y = 1.1892071

when x = 3, y = 1.316074

when x = 4, y = 1.4142136

the slope between x = 1 and x = 2 is equal to (1.1892071) / 1 = .1892071

the slope between x = 2 and x = 3 is equal to (1.316074 - 1.1892071) / 1 = .13268669.

the slope between x = 3 and x = 4 is equal to (1.4142136 - 1.316074) / 1 = .0981396.

The slope is greater than zero and it is decreasing.