SOLUTION: find all x-intercepts and y-intercepts of the graph of function. f(x)=(-3x^2)+(24x^2)-45x if there is more than one answer, separate them with commas.

Algebra ->  Functions -> SOLUTION: find all x-intercepts and y-intercepts of the graph of function. f(x)=(-3x^2)+(24x^2)-45x if there is more than one answer, separate them with commas.       Log On


   

Question 964053: find all x-intercepts and y-intercepts of the graph of function.
f(x)=(-3x^2)+(24x^2)-45x
if there is more than one answer, separate them with commas.
Found 2 solutions by Fombitz, MathLover1:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=%28-3x%5E2%29%2B%2824x%5E2%29-45x
f%28x%29=21x%5E2-45x
f%28x%29=3x%287x-15%29
.
.
.
X-intercepts:
3x=0
x=0
(0,0)
and
7x-15=0
7x=15
x=15%2F7
(15/7,0)
.
.
.
Y-intercept:
y=0%280-15%29
y=0
(0,0)
.
.
.
.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
find all x-intercepts and y-intercepts of the graph of function.
f%28x%29=%28-3x%5E2%29%2B%2824x%5E2%29-45x
f%28x%29=%28-3%2B24%29x%5E2-45x
f%28x%29=21x%5E2-45x
set f%28x%29=0 and find x-intercepts
0=21x%5E2-45x
x%2821x-45%29=0
solutions:
x=0
and
%2821x-45%29=0=>21x=45=>x=45%2F21=>x=15%2F7
so,x-intercepts are at: (0%2C0),and (0%2C15%2F7)

set x=0 and find y-intercepts
f%280%29=21%2A0%5E2-45%2A0
f%280%29=0
y-intercept is at: (0,0)