Coordinate Spark Warmup
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Daily Math Warm-Up
Algebra 1 • Functions & Linear Relationships
Name:
Date:
Period:
1
Domain & Range of a Continuous Function
Continuous Relation
Analyze the continuous function graphed on the coordinate plane below. Identify the extreme values of \(x\) and \(y\) to write the domain and range in inequality notation.
x y -2 -4 2 4 2 4 -2 -4
Solid dots indicate closed endpoints
Domain (Horizontal / \(x\)-values) Leftmost to Rightmost
Min \(x\):
Max \(x\):
Inequality Notation:
≤ x ≤
Range (Vertical / \(y\)-values) Lowest to Highest
Min \(y\):
Max \(y\):
Inequality Notation:
≤ y ≤
2
Finding Slope Graphically
Rate of Change
Two points, \(A\) and \(B\), are plotted on the linear graph below. Sketch the rise/run triangle on the grid, count the units, and calculate the simplified slope \(m\).
x y -2 -4 2 4 2 4 -2 -4 A(-2,-3) B(1, 3)
Draw the slope triangle directly on the graph
Step 1: Count Rise & Run
Rise (\(\Delta y\), vertical):
↑ units
Run (\(\Delta x\), horizontal):
→ units
Step 2: Calculate & Simplify \(m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}\)
\(m =\)
=
Slope (\(m\)):
Line behavior (circle one):
Positive Negative Zero Undefined
Self-Reflection: How confident do you feel about today's concepts?
1 - Still practicing 2 - Almost there 3 - Mastered it!
