Show:
Exponents
Graphing
Solving
Exp & Logarithms
Functions
100

(x^2)^3

What is x^6 ?

100
the equation of a vertical line that goes through (4,1)
What is x=4?
100
all x values that will satisfy the equation 3x^2 + 10x + 8 = 0
What are x = -2 and x = -4/3 ?
100
ln(1)
What is zero?
100
the simplified value for f(3) if f(x) = sqrt(4x+8)
What is two times the square root of five?
200
(x^2)*(x^3)
What is x^5 ?
200
the slope formula
What is m = (y2 - y1)/(x2 - x1) ?
200
an x value that would satisfy the equation (4x+1)^2 - (3x+2) = 16x^2 + 3
What is 4/5 ?
200
ln(e)
What is one?
200
an explanation of how to find f(2) if given an equation of a piecewise function
What is "You look at the if parts and see which inequality would old true for x=2 falls, and then that tells you which ONE function to plug the 2 into. You only plug the 2 into ONE of the functions, and whatever you get from that calculation is your answer."
300

a simplified expression (with all positive exponents) that is equivalent to [(a^(-1))*(b^(-3))] divided by [(a^(-4))*(b^(-2))]

What is (a^3)/b ?

300

the vertex of y = 4x^2 - 3x + 2

What is (3/8, 23/16) ?

300

a value for x that satisfies the equation 4/(x+2) = 3/(x-2) - 6/(x^2 - 4)

What is 8?

300

A value for x, in its simplest form, that satisfies the equation 4^x = 1/2

What is -1/2 ?

300

f(x+h) if f(x) = 4x^2 - 8x + 1

What is 4x^2 + 8xh + 4h^2 - 8x - 8h + 1 ?

400

the missing factor in this equation (4x^2)(x-1)^(-3) + (2x)(x-1)^(-2) = (2x)(x-1)^(-3)[____________]

What is 3x-1 ?

400
an explanation of how to graph a piecewise function
What is "First look at the numbers that appear in the if parts. At those values, draw vertical dotted lines for seams. Then pull each piece down into the neighborhood where it is to be graphed, like into the left, middle, and right, areas. Then make little x-y-charts for each part, only plugging in x-values that would appear in that neighborhood. Plot the points you find. Connect the dots with a line and extend the line up to the seam. On the seam put a dot that is either open or closed depending on if the inequality had an equal bar with it."
400
any values of x that satisfy the equation y = 2x^2 + 3x - 4
What is the quantity negative three plus or minus the square root of forty one all divided by 4 ?
400
the asymptote of the graph of y = log(x+4)
What is x = -4 ?
400

(fog)(x) if f(x)=sqrt(x) and g(x)=x^2 + 4

What is sqrt(x^2 + 4)? [which is NOT equivalent to x+2]