Question

The x-intercepts of the graph of ƒ(x) = x(x + 1)(x – 5)(x – 7) are

Answer 1

x-intercept is where y=0
x(x + 1)(x – 5)(x – 7) = 0
x=0, -1, 5, 7

Answer 2

The x-intercepts of the graph are 0, -1, 5, 7

Explanation:

The given function is,

`f(x) = x(x + 1)(x-5)(x-7)`

x-intercept of a graph is the point where the value of y or f(x) becomes 0. The x-intercepts are the zeros or roots of the function.

i.e
`f(x)=0`

`\Rightarrow x(x + 1)(x-5)(x-7)=0`

`\Rightarrow x=0,x+1=0,x-5=0,x-7=0`

`\Rightarrow x=0,-1,5,7`