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MAT 120 Exam 1 Concepts with 100- correct answers.
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MAT 120 Exam 1 Concepts with 100- correct answers.
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MAT 120 Exam 1 Concepts with100% correct answers
Vertical Line Test for a Function
An equation specifies a function if each vertical
line in the coordinate system passes through, at
most , one point on the graph of the equation.
If any vertical line passes through two or more
points on the graph of an equation, then the
equation does not specify a function. - answer
A _________ to an equation in two variables is an
ordered pair of numbers that when substituted
into the equation result in a true statement. -
answer solution
The ________ for a function f ( x ) for x and x + h in
the domain of f, with h ≠ 0 is f ( x + h ) − f ( x )/ h.
The difference quotient finds the _________of the line
between two points on the graph of a function. -
answer difference quotient
slope
,_________ is a process where ordered pairs of points
that solve an equation are found. The points are
plotted on a grid and then connected with a
smooth curve. - answer point by point graphing
The ________or rectangular coordinate system
consists of two real number lines, one horizontal
and one vertical, that intersect at their origins.
The two number lines are called the _________axis
and the ___________axis. Together, they are referred
to as the coordinate axes.
The horizontal axis is usually referred to as the
_________ axis and the vertical axis as the
_________axis.
The coordinate axes divide the plane into four
parts called _________, which are numbered
counterclockwise using Roman numerals from I to
IV, starting with the upper right quadrant. - answer
cartesian coordinate system
horizontal
vertical
x
, y
quadrants
Independent and Dependent Variables
Input values for functions are ________values and
output values for functions are _______ values.
Function equations often use the variable, x as the
[domain] variable and the variable, y as the
[range] variable.
The input variable is called an ________variable.
The output variable is called a _________variable.
If a function is specified by an equation and the
domain is not indicated, we assume that the
domain is the set of all real-number replacements
of the independent variable that produce real
values for the dependent variable.
The independent variable represents [domain]
values.
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