Core Modus Flashcards
f(x) is continuous at x=a if?
f(a) exists
lim(x>a) f(x) exists
lim(x>a) f(x) = f(a)
x intercept is where?
y=0
and vice versa
means make y=0 in equation from standard form
equation of a given line?
y-y1 = m(x-x1)
where x1 & y1 is a point on the line
when given two points
(x1, y1) (x2, y2)
rise over run to find gradient
m = y2-y1/x2-x1
perpendicular lines
meet at right angles
m1*m2 = -1 always
parallel lines
always have the same gradient
to get m (gradient) you must
convert to gradient intercept form
quadratic function
form?
y = ax2+bx+c
line of symmetry formula
x = -b/2a
from ax2+bx+c
find Turning Point
substitute the line of symmetry into x of
y = ax2+bx+c
if Line of Symmetry x = -1 and evaluating gives y = -4
then Turning Point is (-1, -4)
cubic function polynomial form
f(x) = ax3+bx2+cx+d
quartic function polynomial form
f(x) = ax4+bx3+cx2+dx+e
3/5 / 5
3/5 / 5
3/25
3/5 * 5
3/5 * 5
3
-x/3
also looks like
- 1/3 x