GR – GRT – GRA – GRS

Calculator Strategy

GR

Ctrl N

Add Graph

Del 6

Relation

f(x) means y



GR – Types and Practices

Code

Strategy

Details

Key-Words

Released

Questions

G.1

GR 1 Graph Relations and Functions , Linear , Quadratic and Exponential

Graph 

Relation

Function

Linear

Quadratic 

Exponential

2017

Q – 10 

G.2

GR 2 Graph One Variable Inequality on a Number Line

Solution Set 

 open circle 

 closed circle 

G.3

GR 3 Graph two variables Linear Inequality

Graph 

Dotted

Solid

Shaded Above

Shaded below

2017

Q – 3

G.4

GR

GRS

Graph Inequalities and Ordered Pairs and find if its within the  Solution Set

Solution Set 

Ordered  Pair

2017

Q – 37

G.5

GR 1

GR 2

Graphing a System of Linear Equations

Graph

System of Equations

2017

Q – 48

G.6

GR 1

GR 2

Graphing Quadratic Function and Graph Linear Equation

Quadratic

Factor

2017

Q – 41

G.7

GR 1

GR 2

Graph and Compare Two Linear Equation

Below

Above

Steeper 

Less Steep

Parallel

2017

Q – 45

G.8

GR 1

GR 2

Graph and Compare Two Quadratic Equations. Quadratic Transformations

( Vertical shift )

Above 

Below 

( Horizontal shift )

Right

Left  

Wider

Narrower

2017

Q – 4

Q – 24

G.9

GRT 1

(x,y)

Graph Relation Trace  Evaluate Function Notation f(x)

Evaluate

Function

2017

Q – 47

G.10

GRT 2

(x,y)

Graph Relation Trace  Given linear Equations and points ( or table )

Slope-Intercept Form  

Standard Form 

points (x,y)

Table

2017

Q – 23

Q – 50

G.11

GRT 3

(x,y)

Graph Relation Trace Given Quadratic Equations and points ( or table )

Point (x,y)

Vertex (x,y)

Quadratic Equation

Standard Form 

Vertex Form 

2017

Q – 39

G.12

GRT 4

(x,y)

Graph Relation Trace  Evaluate Functions in Real-World Word Problems Given x or y

Evaluate 

Modeled by

2017

Q – 7

G.13

GRT 5

Graph Relation Trace Solving Linear Equations

Solve

Solution

True

2017

Q -11

Q – 40

G.14

GRT 6 Graph Relation Trace  Solving Quadratic Equations

Solution

Positive Solution 

Negative Solution 

2017

Q – 34

G.15

GRA 1 Graph Relation Analyze  Find Slope and Zero of Linear Graphs given the Equation

Slope

Rate of change 

Rate

Zero 

X-intercept

2017

Q – 16

Q – 52

G.16

GRA 2 Graph Relation Analyze  Solving System of Equations and find intersection

Solution 

Intersection

2017

Q – 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 :

GR-1 Graph order pairs on the Coordinate plane (x,y) and find Quadrant I,II,III,IV.

GR-2 Graph Linear , Quadratic and Exponential equations and functions.  

GR-3 Graph inequalities and a system of linear equations and inequalities.   

GR-4 Graph Quadratic and linear equations and find if the line is a factor.

GR-5 Graph Linear Equations , compare the lines graphed ( steeper – less steep – parallel – shifted up – shifted down )

GR-6 Graph Quadratic Equations , compare the parabolas graphed ( narrower , wider , up , down , right , left )

GR-STAAR Graph Relation Questions – STAAR 2013-2017

 



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- y-intercept

2- The point (x,y) , if you are given x you can find y and vice-versa.

3- Solve Linear Equations.

Graph Relation Trace GRT STEPS: y-int 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 y-intercept (0,y-int)

7- Press Esc ( Top left button in the calculator )

8- Hover with mouse and move the y-intercept 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 2x-6y=3 , What is the value of y when x=-3 ?

Solution 1:

Example 2: 

Evaluate f(4) for the function f(x)=½x-6 ?

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 8x-3(2x-4)=3(x-6) ?

Solution 3:

 

 

Practice :

GRT-1 Graph the function and find y-intercept and find point (x,y)

GRT-2 Evaluate function notation , f(x)

GRT-3 Solve linear equations

GRT-STAAR Graph Relation Trace Questions – STAAR 2013-2017

 



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 x-intercept ( 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 x-intercept  and move to after x-intercept 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 :

GRA-1 Finding the zero and slope of a linear graph given the equation.

GRA-2 Finding the solution of a system of equations

GRA-STAAR Graph Relation Trace Questions – STAAR 2013-2017



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 3x-y<-2 ?

Solution 1:

 



 

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