Question

Given the function: f(x) = (x − 3)(x + 7)(x − 1)its f-intercept is:its x-intercepts are:

Answer 1

Given: Given the function: f(x) = (x − 3)(x + 7)(x − 1)

Required: its f-intercept and its x-intercepts.

Explanation:

`f(x)=(x-3)(x+7)(x-1)`

For f-intercept, put x = 0

`\begin{gathered} f(0)=(0-3)(0+7)(0-1) \\ f(0)=21 \end{gathered}`

So the f-intercept is (0,21).

For x-intercepts, put f(x) = 0

`\begin{gathered} 0=(x-3)(x+7)(x-1) \\ x=3,-7,1 \end{gathered}`

So x-intercepts are (3,0),(-7,0) and (1,0).

Final Answer:

f-intercept: (0,21)

x-intercept: (3,0),(-7,0),(1,0).