Real Valued Functions Flashcards
Domain
Set of all input values
Codomain/range
Set of all possible output values
Closed end
End point included in interval, denoted by square brackets
Open end
End point not included in interval, denoted by brackets
Logarithm
The power to which a base must be raised to reach a number
log a(x*y) = ?
log a(x) + log a(y)
log a(x/y) = ?
log a(x) – log a(y)
log a(x^n) = ?
n log a(x)
True or false: The base can’t be changed when calculating a logarithm
False! log a(x) = log b(x) / log b(a)
log a(1) = ?
0
log a(a^n) = ?
n
log a(a) = ?
1
Linear equation
An equation with exactly one solution
True or false: Linear equations can have squares
False! Linear equations can’t have any higher powers.
True or false: Quadratic equations can have multiple solutions
True! Quadratic equations can have between 0 and 2 solutions.
