Here's the factorization of the equation
f(x) = [ (x+4)(2x-1) ] / [ (x-1)(x^2+x+1) ]
<u>Domain</u>
The domain of a function is the set of input or argument values for which the function is real and defined.
- function domain : x < 1 or x > 1
<u>Range
</u><u />Resulting f(x) values: all Real Numbers<u>
</u>
<u>Roots
</u>x = 1/2 & -4
<u>Axis interception points</u>
x-axis: (1/2, 0) , (-4, 0)
(y-axis): (0, 4)
<u>Asymptotes</u>
Vertical: x = 1
Horizontal: y = 0
If the parabola has y = -4 at both x = 2 and x = 3, then since a parabola is symmetric, its axis of symmetry must be between x = 2 and x = 3, or at x = 5/2. Our general equation can then be:
y = a(x - 5/2)^2 + k
Substitute (1, -2): -2 = a(-3/2)^2 + k
-2 = 9a/4 + k
Substitute (2, -4): -4 = a(-1/2)^2 + k
-4 = a/4 + k
Subtracting: 2 = 2a, so a = 1. Substituting back gives k = -17/4.
So the equation is y = (x - 5/2)^2 - 17/4
Expanding: y = x^2 - 5x + 25/4 - 17/4
y = x^2 - 5x + 2 (This is the standard form.)
Answer:
4x - 3y = 36
Step-by-step explanation:
2/3x - 1/2y = 6
Multiply each side by 6 to get rid of the fractions
6* (2/3x - 1/2y) = 6*6
Distribute the 6
12/3 x - 6/2y = 36
4x -3y = 36
Answer:
B
Step-by-step explanation:
since x is GREATER than -25, the shaded part has to be on the right of -25
Answer:
4x1
Step-by-step explanation:
