f(x)= -2x^3+10x^2+48x
Find all x and y intercepts of the graph of the polynomial function
step 1
Find the y-intercept
Remember that
the y-intercept is the value of the function f(x) when the value of x is equal to zero
so
For x=0
f(x)= -2(0)^3+10(0)^2+48(0)
f(x)=0
so
the y-intercept is 0
step 2
Find the x-intercepts
Remember that
The x-intercepts are the values of x when the value of the function f(x) is equal to zero
so
For f(x)=0
using a graphing tool
Find the x-intercepts
see the attached figure to better understand the problem
please wait a minute
the x-intercepts are -3,0 and 8