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WorksheetsNon Nspire Questions 03/26/24 5th, 6th, 7th, 8th
Total questions: 83
Worksheet time: 12hrs 28mins
Define: DOMAIN
Bottom to Top
Always all Real Numbers
All possible Y values
All possible X values
Which expression is equivalent to −63x2−49x ?
−7x(9x−7)
7x(9x−7)
−7x(9x+7)
7x(9x+7)
Which expression is equivalent to g(x)=6x2−13x−5 ?
(2x+5)(3x−1)
(2x−5)(3x+1)
(2x+1)(3x+5)
(2x−1)(3x−5)
Define: Equivalent
Substituting a number for each variable
One is the same as the other
A place where two lines on a graph meet
All possible X values
Define: Evaluate
Substituting a number for each variable
One is the same as the other
A place where two lines on a graph meet
All possible X values
Define: Intersection
Substituting a number for each variable
One is the same as the other
A place where two lines on a graph meet
All possible X values
What is the Linear Regression Formula?
y1∼mx1+b
y1∼a(b)x1
y1∼ax12+bx1+c
y=mx+b
What is the Exponential Regression Formula?
y1∼mx1+b
y1∼a(b)x1
y1∼ax12+bx1+c
y=mx+b
What is the Quadratic Regression Formula?
y1∼mx1+b
y1∼a(b)x1
y1∼ax12+bx1+c
y=mx+b
Define: DOMAIN
Bottom to Top
Always all Real Numbers
All possible Y values
All possible X values
Define: RANGE
Left to Right
Always all Real Numbers
All possible Y values
All possible X values
Define: Rate of Change
Where a graph crosses the Y-axis
Where a graph crosses the X-axis
y=mx+b
Slope
m
Define: SLOPE
Where a graph crosses the Y-axis
Where a graph crosses the X-axis
y=mx+b
Rate of Change
m
Which statements are true?
Select all that apply.
The equation of a line with a slope of 4 that passes through (1, 2) is
y=4x+2
The equation of a line with a slope of -3 that passes through (1, 4) is
y=−3x+7
The equation of a line that passes through (0, 5) and (2, 9) is
2x−y=5
The equation of a line with a slope of 7 that passes through (3, 4) is
y−4=7(x−3)
What is the Quadratic Regression Formula?
y1∼mx1+b
y1∼a(b)x1
y1∼ax12+bx1+c
y=mx+b
The "U" shape of a quadratic function.
Axis of Symmetry
Vertex
Parabola
Solution
THe highest (max) or lowest (min) point of a parabola. The center point where the parabola changes directions. It is the point through which the axis of symmetry passes.
Vertex of a parabola
Domain
Range
Standard Form of a Polynomial
The simplest function with the defining characteristic of the function family.
Slope - Intercept Form
Point - Slope Form
Parent Function
Standar Form
Danna graphs the function f(x)=x2 and g(x)=f(x−3).
Choose the correct answer from each drop-down menu to complete the statement. The graph of g(x) is a
(a) (b)
of the graph of f(x).
A function is shown.
f(x)=7−4x
What is the value of f(−5)?
What is one way to determine if a graph represents a function or not?
horizontal line test
negative numbers
vertical line test
separate values
If a function has connected values then it is considered a _______ function.
discrete
continuous
A change in the position, size, or shape of a figure or graph.
slope
transformation
sequence
rate of change
Two or more equations or inequalities is referred to as what?
system
function
rational
solution
Which one of the following is considered a function?
Select all the following words for x-intercepts.
solutions
roots
zeros
Where is the y-intercept located?
axis of symmetry
x-axis
y-axis
Equivalent means....
the highest or lowest point of a function
two things are equal
all possible x values
the line that cuts the parabola into two equal parts
What is that dashed line called?
axis of symmetry
x-intercept
slope
y-intercept
What is rate of change?
axis of symmetry
maximum
minimum
slope
All possible y values of a function
x-intercept
domain
range
y-intercept
The lowest or highest point on a graph is called?
vertex
x-intercept
axis of symmetry
y-intercept
All possible x values of a function
range
domain
x-intercept
y-intercept
All possible y values of a function
x-intercept
domain
range
y-intercept
What is rate of change?
axis of symmetry
maximum
minimum
slope
What is that dashed line called?
axis of symmetry
x-intercept
slope
y-intercept
Equivalent means....
the highest or lowest point of a function
two things are equal
all possible x values
the line that cuts the parabola into two equal parts
Where is the y-intercept located?
axis of symmetry
x-axis
y-axis
Select all the following words for x-intercepts.
solutions
roots
zeros
An asymptote is
where the function crosses the y-axis
the line that splits the function into two equal parts
the highest point the function reaches
a line that the function approaches but never reaches
A discrete function is ______, ________ values. (choose 2)
connected
separate
distinct
continuous
Parallel lines... (choose 2)
have no solutions
intersect to create right angles
have multiple solutions
never touch
Two lines that intersect to create 4 right angles.
parallel
perpendicular
axis of symmetry
asymptote
Which one of the following is considered a function?
Two or more equations or inequalities is referred to as what?
system
function
rational
solution
A change in the position, size, or shape of a figure or graph.
slope
transformation
sequence
rate of change
If a function has connected values then it is considered a _______ function.
discrete
continuous
What is one way to determine if a graph represents a function or not?
horizontal line test
negative numbers
vertical line test
separate values
Select the following symbol(s) that represent an inequality symbol
=
<
>
≤
≥
Which parent function is the graph presenting?
linear
quadratic
exponential
cubic
Which parent function is the graph presenting?
linear
quadratic
cubic
exponential
Which parent function is the graph presenting?
linear
quadratic
cubic
exponential
One solution to a system of equations is where the lines are ________.
intersecting
parallel
touching the x-axis
starting
f(x) represents
x first because its in ( )
f times x
function notation
the end of an equation
The point in which a graph hits the x-axis is know as the _____
solution
x-intercept
root
all the above
Which transformation occurred from graph A to graph B?
reflection over the x axis
shifted 1 unit down
vertical compress
vertical stretch
Which transformation occurred from graph A to graph B? (Choose 2)
reflection over the x axis
shifted left 3 units
shifted up 3 units
vertical stretch
When the vertex of a parabola is at its highest point it is called a ______.
axis of symmetry
range
minimum
maximum
When the vertex of a parabola is at its lowest point it is called a ______.
axis of symmetry
range
minimum
maximum
A symbol that represents an unknown factor in an equation/expression.
letter
variable
constant
number
The initial value is also known as the ____.
y-intercept
x-intercept
zero
solution
Which one of the graphs represents a VERTICAL STRETCH from this graph?
What transformation occurred from graph A to graph B? (Choose 2)
vertical stretch
shifted up 3 units
vertical compress
shifted left 1 unit
The graph of part of linear function f is shown on the grid. Write an inequality that represents the domain of the part shown. Use <= for ≤ or >= for ≥ if math keyboard is not available.
Graph the line represented by the equation y = -3(x - 2) - 4. Select two points on the coordinate grid. A line
The graph of a line is shown. What are the equation and the slope of the line?
Move the correct answer to each box. Not all answers will be used.
Equation: (a)
Slope: (b)
Which type of line has an undefined slope?
Vertical line
Horizontal line
y = x
uphill line
Which type of line has a slope of zero?
vertical line
y = x
horizontal line
downhill line
If you ever get lost on your Nspire, what button will get you back to "home base"?
Ctrl
Enter
Home/On
Esc
?
Help button
esc
menu
We are now done calculating and want to go back to "home base". What button does this?
Esc
Home/On
Enter (5 times)
Shift
Which equation matches the graph? (Click me to see the image)
Hint: Graph and Compare
y = 2x + 2
y = 1/4x + 2
y = 1x + 4
y = 4x + 2
Which value of x makes the equation −5x−(−7−4x)=−2(3x−4) true?
Hint: Use TI-Nspire - Calculate - MENU - 3 - 1
3
5
31
51
Which value of x makes the equation 0.75(x+20)=2+0.5(x−2) true?
Hint: Use TI-Nspire - Calculate - MENU - 3 - 1
64
- 64
56
- 56
What button is pressed first to activate the 2nd functions on the NSpire calculator? (Shown in blue in the picture.)
ctrl
menu
tab
doc
Is the relation a function? Why.
Yes, because the x-value 11 has two y-values pair with it.
Yes, because each x-value has only one y-value paired with it.
No, because the x-value 11 has two y-values pair with it.
No, because each x-value has only one y-value paired with it.
