THE ANSWER TO THE SYSTEM OF EQUATIONS IS Y= 2FOR EXAMPLE, CONSIDER...
5
Functionsare written in the form beginning with:4
3
f(x) =2
1
For example, consider the function f(x) = 3x– 8.x
If you are asked to find f(5), you simply substitute the–6
1
2
3
4
5
6
7
–5
–4
–3
–1
–2
–7
5 into the given function equation.f(x) = 3x– 8y
becomesf(5) = 3(5) – 8When f(x) = 3, the yvalue (use the y-axis) willf(5) = 15 – 8 = 7equal 3. As shown below, there are five such points.In order to be classified as a function, the functionin question must pass thevertical line test. The verti-cal line test simply means that a vertical line drawnthrough a graph of the function in question CANNOTpass through more than one point of the graph. If thefunction in question passes this test, then it is indeed afunction. If it fails the vertical line test, then it is NOT afunction.All of the xvalues of a function, collectively, arecalled its domain. Sometimes, there are xvalues that areoutside of the domain, and these are the xvalues forwhich the function is not defined.G e o m e t r y R e v i e w
To begin this section, it is helpful to become familiar with the vocabulary used in geometry. The list below definessome of the main geometrical terms. It is followed by an overview of geometrical equations and figures.arc
part of a circumference
area
the space inside a two-dimensional figure
bisect
cut in two equal parts
circumference
the distance around a circle
chord
a line segment that goes through a circle, with its endpoint on the circle
congruent
identical in shape and size. The geometric notation of “congruent” is
≅
.
diameter
a chord that goes directly through the center of a circle—the longest line you can draw in a circle
equidistant
exactly in the middle
hypotenuse
the longest leg of a right triangle, always opposite the right angle
line
a straight path that continues infinitely in two directions. The geometric notation for a line is AB
.
line segment
the part of a line between (and including) two points. The geometric notation for a line segment is
PQ
.
parallel
lines in the same plane that will never intersect
perimeter
the distance around a figure
perpendicular
two lines that intersect to form 90-degree angles
quadrilateral
any four-sided figure
radius
a line from the center of a circle to a point on the circle (half of the diameter)
ray
a line with an endpoint that continues infinitely in one direction. The geometric notation for a ray
is AB
.
tangent line
a line meeting a smooth curve (such as a circle) at a single point without cutting across the curve.
Note that a line tangent to a circle at point P
will always be perpendicular to the radius drawn to
point P.
volume
the space inside a three-dimensional figure