Math 101 Study Guide
Breaking even - ANS-Revenue = cost
Cost - ANS-Total money spent
Difference quotient - ANS-(f(x+h)-f(x))/h
Discriminant - ANS-b²-4ac
Discriminant of y=x² - ANS-0
Domain of y=-2(x-4)²+3 - ANS-(-∞,∞)
Domain of y=x² - ANS-(-∞,∞)
Equation for a circle - ANS-(x-h)²+(y-k)²=r²
Equation for slope - ANS-(y₂-y₁)/(x₂-x₁)
If discriminant is negative - ANS-2 imaginary solutions
If discriminant is positive - ANS-2 real solutions
If discriminant is zero - ANS-1 real solution
Maximum of y=-2(x-4)²+3 - ANS-(4,3)
Maximum of y=x² - ANS-∅ (no solution)
Minimum of y=-2(x-4)²+3 - ANS-∅ (no solution)
Minimum of y=x² - ANS-(0,0)
Point-slope form - ANS-y-y₁=m(x-x₁)
Profit - ANS-Revenue - cost
Quadratic formula - ANS-(-b±√(b²-4ac))/(2a)
Breaking even - ANS-Revenue = cost
Cost - ANS-Total money spent
Difference quotient - ANS-(f(x+h)-f(x))/h
Discriminant - ANS-b²-4ac
Discriminant of y=x² - ANS-0
Domain of y=-2(x-4)²+3 - ANS-(-∞,∞)
Domain of y=x² - ANS-(-∞,∞)
Equation for a circle - ANS-(x-h)²+(y-k)²=r²
Equation for slope - ANS-(y₂-y₁)/(x₂-x₁)
If discriminant is negative - ANS-2 imaginary solutions
If discriminant is positive - ANS-2 real solutions
If discriminant is zero - ANS-1 real solution
Maximum of y=-2(x-4)²+3 - ANS-(4,3)
Maximum of y=x² - ANS-∅ (no solution)
Minimum of y=-2(x-4)²+3 - ANS-∅ (no solution)
Minimum of y=x² - ANS-(0,0)
Point-slope form - ANS-y-y₁=m(x-x₁)
Profit - ANS-Revenue - cost
Quadratic formula - ANS-(-b±√(b²-4ac))/(2a)
