All SSAT Upper Level Math Resources
Example Questions
Example Question #11 : X And Y Intercept
Find the y-intercept:
Rewrite the equation in slope-intercept form, .
The y-intercept is , which is
.
Example Question #102 : Expressions & Equations
What is the -intercept of the graph of the function
The graph has no -intercept.
The -intercept of the graph of a function is the point at which it intersects the
-axis - that is, at which
. This point is
, so evaluate
:
The -intercept is
.
Example Question #12 : How To Find X Or Y Intercept
Define a function . Which of the following is the
-intercept of the graph of
?
The -intercept of the graph of a function
has 0 as its
-coordinate, since it is defined to be the point at which it crosses the
-axis. Its
-coordinate is
, which can be found using substitution, as follows:
The correct choice is .
Example Question #221 : Coordinate Geometry
Define a function . Which of the following is an
-intercept of the graph of
?
(a)
(b)
Both (a) and (b)
(a), but not (b)
(b), but not (a)
Neither (a) nor (b)
Neither (a) nor (b)
An -intercept of the graph of a function
has 0 as its
-coordinate, since it is defined to be a point at which it crosses the
-axis. Its
-coordinate is a value of
for which
.
We can most easily determine whether is a point on the graph of
by proving or disproving that
, which we can do by substituting 2 for
:
, so
is not an
-intercept.
Similarly, substituting 3 for :
, so
is not an
-intercept.
Example Question #281 : Geometry
Define . The graphs of
and a second function,
, intersect at their common
-intercept. Which of the following could be the definition of
?
An -intercept of the graph of a function
has 0 as its
-coordinate, since it is defined to be a point at which it crosses the
-axis. Its
-coordinate is a value of
for which
, which can be found as follows:
Substituting the definition, we get
Solving for by subtracting 7 from both sides, then dividing both sides by 2:
The -intercept of the graph of
is the point
.
To determine which of the four choices is correct, substitute for
and determine for which definition of
it holds that
.
can be eliminated immediately as a choice since it cannot take the value 0.
:
The correct choice is .
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All SSAT Upper Level Math Resources
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