f(0) means the function output when the input is x = 0. This is the same as saying the y value when x = 0.
f(x) = 3-2x
f(0) = 3-2(0)
f(0) = 3
The point (0,3) is on the graph. This is the y intercept which is where the graph crosses the y axis. The y intercept always occurs when x = 0.
So in other words, the special name for f(0) is the y intercept.
<span>The number of x-intercepts that appear on the graph of the function
</span>f(x)=(x-6)^2(x+2)^2 is two (2): x=6 (multiplicity 2) and x=-2 (multiplicity 2)
Solution
x-intercepts:
f(x)=0→(x-6)^2 (x+2)^2 =0
Using that: If a . b =0→a=0 or b=0; with a=(x-6)^2 and b=(x+2)^2
(x-6)^2=0
Solving for x. Square root both sides of the equation:
sqrt[ (x-6)^2] = sqrt(0)→x-6=0
Adding 6 both sides of the equation:
x-6+6=0+6→x=6 Multiplicity 2
(x+2)^2=0
Solving for x. Square root both sides of the equation:
sqrt[ (x+2)^2] = sqrt(0)→x+2=0
Subtracting 2 both sides of the equation:
x+2-2=0-2→x=-2 Multiplicity 2
9514 1404 393
Answer:
$200
Step-by-step explanation:
The amount of withholding was ...
$3500 · 9% = $315
The excess over the amount due is ...
$315 -115 = $200
Yarin can expect a refund of $200.
Answer:
a = 2, b = 3.5
Step-by-step explanation:
Expanding 
using Binomial expansion, we have that:
=
We have that the coefficients of the first two terms are 128 and -224.
For the first term:
=> 
=> ![a = \sqrt[7]{128}\\ \\\\a = 2](https://tex.z-dn.net/?f=a%20%3D%20%5Csqrt%5B7%5D%7B128%7D%5C%5C%20%5C%5C%5C%5Ca%20%3D%202)
For the second term:
Therefore, a = 2, b = 3.5
