find the the domain, y-intercepts and x-intercepts of x^4/5(x-4)^2.

Answer 1

y= x^4/5(x-4)^2

y intercept is when x=0

y=0/5(16) = 0

x intercept is when y= 0

0 = x^4/5(x-4)^2

x^4 = 0

x = 0

the x and y intercepts are the origin (0,0)

the domain is all x values that do not make the denominator = 0

5(x-4)^2 = 0

x=4

domain is all real numbers except 4

check the answer

use a graphing calculator

and see where the graph intersects the axes

and where the graph does not have an x value