SOLUTION: 1) Is the following function linear? Can you evaluate the function for the given value of x. f(x)=1 - x^2 ; f(0) 2)Can you help me write an equation of the line that passes thr

Question 104440: 1) Is the following function linear? Can you evaluate the function for the given value of x.
f(x)=1 - x^2 ; f(0)
2)Can you help me write an equation of the line that passes through the given point and satisfies the given condition for the foolowing two problems:
a)(1,3) ; parallele to y=2x-1
b) (3,2) ; perpendicular to y= -3x
3)What is the property that the statement 4(2 + 3)=4(2) + 4(3) illustrates?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
1) Is the following function linear?
Ans: No, it is a quadratic equation.
--------------
Can you evaluate the function for the given value of x.
f(x)=1 - x^2 ;
Ans: f(0) = 1-0^2 = 1
----------------------------
2)Can you help me write an equation of the line that passes through the given point and satisfies the given condition for the foolowing two problems:
a)(1,3) ; parallel to y=2x-1
Equation form: y=mx+b; you need m and b
m=2 because the line you want is parallel to y=2x-1 which has slope = 2
Solve for b: 3 = 2*1+b ; b = 1
EQUATIOn:
y = 2x+1
------------------
b) (3,2) ; perpendicular to y= -3x
m = 1/3
2=(1/3)3+b ; b = 1
EQUATION:
y = (1/3)x + 1
--------------------
3)What is the property that the statement 4(2 + 3)=4(2) + 4(3) illustrates?
The distributive property.
====================
Cheers,
Stan H.

RELATED QUESTIONS
Please help me with the following questions. Given the function below, evaluate the... (answered by josgarithmetic)

Linear Function - Graph and evaluate the given formula: f(x){ x^2 + 1 ; x ≤ 0 { (answered by solver91311)

Can someone please help me on the following problem? I need to evaluate this... (answered by rcmcc)

I would really like it if you help me in the following function notations questions. (answered by algebrahouse.com)

Can you help me answer this? F(x)={{{3x^2+2}}}, if x<=(less than or equal to)-1... (answered by jim_thompson5910,MathLover1)

I just can not figure out how this is done, can you please help?? Evaluate each... (answered by bmauger)

Please help me solve the problem. Thank you! f(x)=x+4 f(-8) f(-4) Non-linear... (answered by RAY100)

Chapter 3 42. Given the following function find f(-2), f(0), f(1) for the following... (answered by Cromlix)

can you please help me: (((solve f(0)=0 from the function... (answered by jim_thompson5910)