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55 Cards in this Set

  • Front
  • Back
How do you tell whether a graph is the graph of a function?
Vertical Line Test
____________is the set of all input (x-) values you can plug into a function.
independent / domain
The ______ is the set of all output (y-) values you can get out of a function
dependent / range
A _______ is a relationship where every input value (x) has one and only one output value (y).
function

NO X REPEATS
The variable that depends on another variable is called the _____________________variable.
dependent
The "x" variable is usually the independent/dependent variable. (Circle one.)
independent
If the amount of your paycheck depends on the number of hours you work, then___________is the independent variable.
number of hours you work

-hours change the amount of money on your paycheck
The parent function for linear functions is y = _______
y = x
- slope is: 1
- goes through the origin (0, 0)
In the slope-intercept form of a line, y = mx + b, b represents the_____________.
b: y-intercept
begin here
first name is 0 (0, b)
In the slope-intercept form of a line, m represents the____________.
m: slope
move according to this
Slope is the ratio of ____ over _______.
rise over run
change in y over change in x
If a line decreases from left to right, then the slope is ______________.
negative

fall / crawl
If a line increases from left to right, then the slope is _______________.
positive

rise / run
A vertical line has _______________slope.
undefined

vertical line is x = #
A horizontal line has ________________slope.
zero

horizontal line is y = #
"Rate of change" is another term for ____________.
slope
Opposite-reciprocal sloped lines are parallel/perpendicular. (Circle one.)
perpendicular

Flip and Change sign
Equally sloped lines are parallel/perpendicular. (Circle one.)
parallel

Keep the slope
The lines y = - _1 x + 3 and y=-2x-7 are parallel/perpendicular/neither. (Circle one.)
niether

y = - _1 x + 3 y=-2x-7
m = -1 m = -2
The parent function for quadratic functions is y =
y = x squared
The standard form of a ___________________ function is y = ax2 + bx + c
quadratic
In the function y = ax2 + c, if "a" is negative, the parabola opens ___________________.
-a: parabola opens downward
In the same function, if "a" is positive, the parabola has a maximum / minimum value. (Circle one.)
+a opens upward:
has minimum value
In the same function, the larger is lal, the wider/narrower the parabola. (Circle one.)
narrower
In the same function, the "c" tells us _________________________.
y = ax^2 + c
C tells us y-intercept
Maximum: -a
minimum: +a
When solving linear/quadratic equations, we try to get "y" by itself. (Circle one.)
linear
When solving linear/quadratic equations, we set the equation equal to zero before solving.
quadratic
When solving linear inequalities, we must not forget to ___________ , whenever we multiply or divide by a negative number.
flip the inequality sign
To check answers in our calculator, we might want to use the __________ function. a. test b. calculate c. table
all of the above
. When solving proportion problems, we should __________________.
cross multiply and divide - butterfly
The graph of a linear function is a ____________________
line
The graph of a quadratic function is called a ___________________.
parabola (U)
______________is the distance around a shape
perimeter / circumference
________covers the shape.
area
In an ordered pair, the first number is the ___-value and the second number is the ___ -value.
the first number is the x value
the second number is the y -value.
(x,y)
When graphing ordered pairs, we first move left & right or up & down. (Circle one.)
Always start at the origin (0,0)
(x, y): left and right
- x: left
+x: right

From the x location
-y: down
+y: up
The point (0,10) is called a ___-intercept
y intercept
first name is 0
. The perimeter formula for a rectangle is__P = _____________________.
P = 2(l + w)
P = 2l+ 2w

or A.A.S.
To find an x-intercept from an equation, we ________________________________.
use the box
or
set y = 0 and solve for x
To find a y-intercept from an equation, we_________________________________.
use the box
or
set x = 0 and solve for y
We can tell if a function is linear by seeing if the __________stays the same.
slope or rate of change
When multiplying exponential expressions with the same base, we _______ the exponents.
add the exponents
When raising a power to a power, we _______the exponents.
multiply the exponents
When dividing exponential expressions with the same base, we ______________ the exponents.
subtract the exponents
Any base raised to the zero power is __________________.
1
When multiplying two binomials, we _____________________.
use the calculator
x + x =_________.
2x
x • x =________.
x^2
(x+2)(x-5)= .
double distribute
Constant of variation is the same thing as the _________________________________.
slope
What is the solution of a system of equations if when graphed:
a) the lines cross?______________________________
one solution (where lines cross)
2nd
Trace
5
Enter (3 times)
What is the solution of a system of equations if when graphed:

b) the lines are parallel?__________________________
no solution
What is the solution of a system of equations if when graphed:

c) the lines are the same?________________________
many
slopes =
and
y-intercepts =
________________depends on _________________.

0r
_______________ is a function of _______________.
y depends on x
dep depends on ind


y is a function of x.
. Discrete / Continuous data is represented by dots on a graph. (circle one)
Discrete