g(x) = 2x2 + 3x - 5
g(x) is a parabolic function. To find it's range, let's find it's lowest point by getting the location at which it has a slope of 0.
g'(x) = 4x + 3
0 = 4x + 3
4x = -3
x = -3/4
Now find it's value at that point:
(-3/4)2 + 3(-3/4) - 5
= 9/16 - 9/4 - 5
= (9 - 36 - 80) / 16
= -107/16
So it's lowest value is -107/16
∴ {g(x) | g(x) ≥ -107/16, g(x) ∈ N}
The domain of y = 1/x2 is all numbers from -infinity to + infinity except zero. The range is all positive numbers from zero to +infinity, except +infinity.
1. Anything divided by itself always equals 1.
1
Give the domain for
all real numbers
Y = x squared -4x plus 3 is an equation of a function. It is neither called a domain nor a range.
The domain of y = 1/x2 is all numbers from -infinity to + infinity except zero. The range is all positive numbers from zero to +infinity, except +infinity.
1. Anything divided by itself always equals 1.
1
Give the domain for
all real numbers
22
The graph is a circle with a radius of 6, centered at the origin
14
Yes.
5
Yes.