TAMU MPE WITH COMPLETE SOLUTIONS 100%
2023/2024
what the quadratic formula
-b ± √(b²-4ac)
--------------------------
2a
can there be a neg number in a sqrt?
no
can there be a neg domain for log or ln function
no
whats a²-b² equal to
(a+b)(a-b)
Can there be a conjugate for a binomial
no
√3 * √2 = ?
√3 * √2 ≡ √6
what are the four log rules
log(a) + log(b) = log(ab)
log(a) - log(b) = log(a/b)
2Log(c) = log(c)^2
Inverse Properties =log∨b(b)∧x = x
The Three HA Rules
Rule 1: TOP small/Bottom Big = ha is y= 0
Rule 2: Top power same as bottom power= divide the coeefficients, that is your HA
Rule 3: Top Bigger/bottom small = no HA
What is the domain of f(x)= ln(x)
D = (0,∞)
What is the exponential growth formula
y = yo * e^kt
How do you vertically shift a quadratic function
add a constant to the end
how do you shrink a quadratic function
multiply something in fron tof the x^2 part. A whole number shrinks it, a fraction makes it bigger
2023/2024
what the quadratic formula
-b ± √(b²-4ac)
--------------------------
2a
can there be a neg number in a sqrt?
no
can there be a neg domain for log or ln function
no
whats a²-b² equal to
(a+b)(a-b)
Can there be a conjugate for a binomial
no
√3 * √2 = ?
√3 * √2 ≡ √6
what are the four log rules
log(a) + log(b) = log(ab)
log(a) - log(b) = log(a/b)
2Log(c) = log(c)^2
Inverse Properties =log∨b(b)∧x = x
The Three HA Rules
Rule 1: TOP small/Bottom Big = ha is y= 0
Rule 2: Top power same as bottom power= divide the coeefficients, that is your HA
Rule 3: Top Bigger/bottom small = no HA
What is the domain of f(x)= ln(x)
D = (0,∞)
What is the exponential growth formula
y = yo * e^kt
How do you vertically shift a quadratic function
add a constant to the end
how do you shrink a quadratic function
multiply something in fron tof the x^2 part. A whole number shrinks it, a fraction makes it bigger
