Math TEST unit 1
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what is a function
a relationship between two variables such as x and y in which every value of x has one one value of y
what is the vertical line test
• A test to determine if a relation is a function or not -if the line intersects at only ONE point along the graph, then the relation is a function
when do you use integers (Z)
if the graph is made out of points
when do you use real numbers (R)
when you see a parabola or a line
If the first differences are constant, then the relation is…
linear
if the second differences are constant then the relation is…
quadratic
if the parabola has 2 arrows stating that it goes on forever how would you write domain
{ x∈ℝ}
if there is an open circle when writing domain and range what does that mean?
you only right greater then or less then no equal too
if there is no value inside brackets then h is
zero
if there is no value outside the brackets then k is
zero
if k is positive what is the resulting transformation
vertical shift “k” units up example: y= x² + 7
if k is negative what is the resulting transformation
vertical shift “k” units down example: y= x² - 7
if h is negative INSIDE the bracket what is the resulting transformation
horizontal shift “h” units right example: y= (x-2)²
if h is positive INSIDE the bracket what is the resulting transformation
horizontal shift “h” units lefts example: y= ( x + 2) ²
if the a value is above 1 what is the resulting transformation
vertical stretch by a factor of “a” example: y= 3x²
if the a value is below 1 what is the resulting transformation
vertical compression by a factor of “a” example: y= 1/2x²
if the a value is negative what does that tell us
there is a reflection over the x-axis
what is the formula for mapping notation
(x + h, ay + k)