Calculator Strategy
GR
Ctrl N
Add Graph
Del 6
Relation
f(x) means y
GR – Types and Practices
Code 
Strategy 
Details 
KeyWords 
ReleasedQuestions 

G.1 
GR 1  Graph Relations and Functions , Linear , Quadratic and Exponential 
GraphRelationFunctionLinearQuadraticExponential 
2017Q – 10 
G.2 
GR 2  Graph One Variable Inequality on a Number Line 
Solution Setopen circleclosed circle 

G.3 
GR 3  Graph two variables Linear Inequality 
GraphDottedSolidShaded AboveShaded below 
2017Q – 3 
G.4 
GR GRS 
Graph Inequalities and Ordered Pairs and find if its within the Solution Set 
Solution SetOrdered Pair 
2017Q – 37 
G.5 
GR 1GR 2 
Graphing a System of Linear Equations 
GraphSystem of Equations 
2017Q – 48 
G.6 
GR 1GR 2 
Graphing Quadratic Function and Graph Linear Equation 
QuadraticFactor 
2017Q – 41 
G.7 
GR 1GR 2 
Graph and Compare Two Linear Equation 
BelowAboveSteeperLess SteepParallel 
2017Q – 45 
G.8 
GR 1 GR 2 
Graph and Compare Two Quadratic Equations. Quadratic Transformations 
( Vertical shift )AboveBelow( Horizontal shift )RightLeftWiderNarrower 
2017Q – 4Q – 24 
G.9 
GRT 1(x,y) 
Graph Relation Trace Evaluate Function Notation f(x) 
EvaluateFunction 
2017Q – 47 
G.10 
GRT 2 (x,y) 
Graph Relation Trace Given linear Equations and points ( or table ) 
SlopeIntercept FormStandard Formpoints (x,y)Table 
2017Q – 23Q – 50 
G.11 
GRT 3 (x,y) 
Graph Relation Trace Given Quadratic Equations and points ( or table ) 
Point (x,y)Vertex (x,y)Quadratic EquationStandard FormVertex Form 
2017Q – 39 
G.12 
GRT 4 (x,y) 
Graph Relation Trace Evaluate Functions in RealWorld Word Problems Given x or y 
EvaluateModeled by 
2017Q – 7 
G.13 
GRT 5 
Graph Relation Trace Solving Linear Equations 
SolveSolutionTrue 
2017Q 11Q – 40 
G.14 
GRT 6  Graph Relation Trace Solving Quadratic Equations 
SolutionPositive SolutionNegative Solution 
2017Q – 34 
G.15 
GRA 1  Graph Relation Analyze Find Slope and Zero of Linear Graphs given the Equation 
SlopeRate of changeRateZeroXintercept 
2017Q – 16Q – 52 
G.16 
GRA 2  Graph Relation Analyze Solving System of Equations and find intersection 
SolutionIntersection 
2017Q – 54 
Graph Relation GR
Graph Relation Trace GRT
Graph Relation Scatter GRS
Graph Relation Analyze GRA
Graph Relation GR
When we have an equation , a function , or an inequality such as f(x) , g(x) , x , y , = , < , > , ≤ , ≥
X is the input and y is the output , the ordered pair is (x,y) , is goes first.
We use it to find:
The graph for a function or relation. Write y instead of f(x), the graph of a function f is the set of all points (x, f(x)). Sometimes they use g(x) , h(x) , p(x) , they are the same thing. they all means y.
Graph Relation GR STEPS:
1 Ctrl N
2 Add Graph
3 del 6: Relation
4 replace f(x) by y and type the equation or the inequality the way it is.
Example 1:
Graph the following equation f(x)=3x+4 ?
Solution 1:
Example 2:
Graph the following inequality 3y + x < – 4 ?
Solution 2:
Practice :
GR1 Graph order pairs on the Coordinate plane (x,y) and find Quadrant I,II,III,IV.
GR2 Graph Linear , Quadratic and Exponential equations and functions.
GR3 Graph inequalities and a system of linear equations and inequalities.
GR4 Graph Quadratic and linear equations and find if the line is a factor.
GR5 Graph Linear Equations , compare the lines graphed ( steeper – less steep – parallel – shifted up – shifted down )
GR6 Graph Quadratic Equations , compare the parabolas graphed ( narrower , wider , up , down , right , left )
GRSTAAR Graph Relation Questions – STAAR 20132017
Graph Relation Trace GRT
When we have an equation , a function , or an inequality such as f(x) , g(x) , x , y , = , < , > , ≤ , ≥
We Graph it and Then we Trace the graph. Menu 5 1
We use it to find:
1 yintercept
2 The point (x,y) , if you are given x you can find y and viceversa.
3 Solve Linear Equations.
Graph Relation Trace GRT STEPS: yint and point (x,y)
1 Ctrl – N ( If it asks to if you want to save click No )
2 Add Graph , Enter
3 del 6: Relation ( Remember f(x)=y )
4 Write down the relation the way it is. Enter
5 Menu 5 ( Trace ) 1 ( Trace Graph )
6 Enter → This always take you to yintercept (0,yint)
7 Press Esc ( Top left button in the calculator )
8 Hover with mouse and move the yintercept point to an empty space in the screen. and you will get the point (x,y).
9 Double click where you want to change the x or the y as asked in the question.
Example 1:
for the Graph of the linear equation 2x6y=3 , What is the value of y when x=3 ?
Solution 1:
Example 2:
Evaluate f(4) for the function f(x)=½x6 ?
Solution 2:
Graph Relation Trace GRT STEPS: Solving Linear Equations
1 Ctrl – N ( If it asks to if you want to save click No )
2 Add Graph:2. Enter
3 del 6: Relation ( Remember f(x)=y )
4 Write down the equation ( make sure to switch the letter used in the equation to x ) . Enter
5 Menu 5 ( Trace ) 1 ( Trace Graph ) Enter
Example 3:
What is the solution to the equation 8x3(2x4)=3(x6) ?
Solution 3:
Practice :
GRT1 Graph the function and find yintercept and find point (x,y)
GRT2 Evaluate function notation , f(x)
GRT3 Solve linear equations
GRTSTAAR Graph Relation Trace Questions – STAAR 20132017
Graph Relation Analyze GRA
When we have an equation , a function , or an inequality such as f(x) , g(x) , x , y , = , < , > , ≤ , ≥
We Graph it and Then we Trace the graph. Menu 6
We use it to find:
1 Slope or the rate of change (rate).
2 Zero or the xintercept ( root or solution ).
3 Vertex, Maximum or Minimum for Quadratic functions Graphs.
4 Intersection (x,y) between 2 lines
Graph Relation Analyze GRA STEPS
1 Ctrl – N ( If it asks to if you want to save click No )
2 Add Graph:2. Enter
3 del 6: Relation ( Remember f(x)=y )
4 Write down the relation the way it is. Enter
5 To find the Slope , press Menu 6 ( Analyze ) 5 ( dy/dx ) , click on the line and get your answer.
6 To find the Zero, press Menu 6 ( Analyze ) 1 (zero) , a vertical dotted line appears , Enter before the xintercept and move to after xintercept and press enter. you would see the word zero in yellow.
Note: sometimes you might need to zoom out the graph ( Menu 4 4 ). if needed!
Example 1:
What is the Slope of the line with the equation y+4=4x ?
Solution 1:
Example 2:
What is the zero of the line with the equation y+4=4x ?
Solution 2:
Example 3:
What is the intersection of the system of the linear equations 3x+y=1 and x+2y=7 ?
Solution 3:
Practice :
GRA1 Finding the zero and slope of a linear graph given the equation.
GRA2 Finding the solution of a system of equations
GRASTAAR Graph Relation Trace Questions – STAAR 20132017
Graph Relation Scatter GRS
When we have an equation , a function , or an inequality such as f(x) , g(x) , x , y , = , < , > , ≤ , ≥
We Graph it and Then we graph the points (x,y) and check if it a solution or not. Menu 3 6
We use it to find:
Determine if the ordered pair is in the solution set of the inequality
Graph Relation GRS STEPS:
1 Ctrl N
2 Add Graph
3 del 6: Relation
4 replace f(x) by y and type the equation or the inequality the way it is.
5 Click Menu 3 6
6 Ctrl ) to get the set notation {x} , click ↓ and put {y}
7 if the point is in the blue area , its a solution , if not, its not a solution.
8 if the line is dotted the point on the line is not a solution – – – – – – –
Example 1:
Is the point (2,3) is in the solution set 3xy<2 ?
Solution 1: