sqrt(x^2+y^2)=x +y
What is "you cannot take the root of a sum"?
f(x)= sqrt(x-5)
What is
[5, infty)?
3x^2=8x-4
What is set the equation equal to zero?
A line with slope 3 and y intercept -1.
What is f(x)=3x-1?
An absolute value translated up 4.
What is
f(x)=|x|+4?
(3x-1)^2=9x^2+1
What is you must foil or you lose the middle term?
(3x-1)(3x-1)=9x^2-6x+1
g(x)= (5x-1)/(2x +3)
What is
(-infty, -3/2)U(-3/2, infty)?
5^ (4x+1)= 5^(-3)
What is " Set the exponents equal to each other?
A horizontal line through (5, 6).
What is y = 6?
A cubic translated right 3 and up 5.
What is
f(x)=(x-3)^3+5?
log(x/y)=log(x-y)
What is "log of a quotient is the difference of logs" OR
log(x/y)= log(x)-log(y)?
g(x)=5 overset (x +2)
What is
(-infty, infty)?
sqrt(x+4)-4=(x)
What is isolate the radical?
A parabola with vertex (5, 2).
What is
g(x)=(x-5)^2+2?
A rational equation with vertical asymptote of x = -3, a horizontal asymptote of y = 2 and an x intercept of 5.
g(x)=(x-5)/(x+3)
(cancel(x^2)-3x+1)/cancel x^2)
What is you can only cancel like FACTORS?
(multiplication)
f(x)=log(5x+4)
What is
(-4/5, infty)?
ln(x+1)+ln(x-1)=5
What is condense the logs as a product
ln((x+1)(x-1))?
A circle with center (0,1) and radius
sqrt(8)
What is
x^2+(y-1)^2=8?
Any exponential decay function.
What is the equation below with a an integer?
y = ( 1/a)^(x)
ln(2x^5)=5ln(2x)
What is the exponent of 5 is only on the x?
ln(2x^5)=ln(2)+5ln(x)?
h(x)=(x+4)/(x^2-16)
What is
(-infty,-4)U(-4, 4)U(4,infty)?
(x-4)/((x+5)(x+1))>0
What is "find the critical points from numerator and denominator set equal to zero"?
A rational function with vertical asymptote x = -3 and horizontal asymptote y = 2?
There are others .... What is
f(x)=(2x)/(x+3)?
An ellipse with center ( 4, 3) and Verticies (7, 3) and ( 1, 3) and foci (6, 3) and (2,3).
What is
(x-4)^2/9+(y-3)^2/5=1?