Questions and Answers
What does 'discrete' mean?
What does 'continuous' mean?
Graph the equation: y = 1/4x + 3
Your graph answer
Graph the line: y = 3
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Graph the line: x = 4
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Graph the equation: y = -3/4x + 3
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Graph the equation: y = 2/-4x + 3
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Draw the graph for: Nancy is walking to the store, she forgot her kid at home and walks quickly back home, then faster to the store.
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Which has the fastest time/distance?
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What is the rate of change for the following points? (1, 10), (3, 40), (6, 85)
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Is this a linear function? (1, 23), (3, 38), (5, 42), (7, 65)
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Study Notes
Discrete vs. Continuous Data
- Discrete data refers to countable values that are indivisible; dividing it yields nonsensical results.
- Continuous data pertains to measurable values that are divisible and logical when divided.
Graphing Equations
- y = 1/4x + 3 represents a linear graph with a slope of 1/4 and a y-intercept at 3.
- y = 3 illustrates a horizontal line where the output value remains constant, regardless of the input (x-axis).
- x = 4 shows a vertical line that crosses the x-axis at 4, indicating that x remains constant while y can take any value.
More Graphs
- y = -3/4x + 3 depicts a line with a negative slope of -3/4 and a y-intercept at 3.
- y = 2/-4x + 3 simplifies to y = -1/2x + 3, showing a linear relationship with a negative slope and y-intercept at 3.
Scenario Graphing
- A narrative describes Nacy walking to the store, forgetting her child, and then walking quickly back, followed by an even faster pace towards the store, indicating changes in speed that could be graphed.
Analyzing Time and Distance
- Review the fastest time/distance from previous tests, particularly question 17, for comparative analysis.
Rate of Change
- A set of data points provides values: 1
10, 340, 6~85. The calculated rate of change (R.o.c) between these points is 15.
Linear Function Check
- A sequence of ordered pairs (1
23, 338, 542, 765) fails the linear function test, confirming it is not a linear function.
Studying That Suits You
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Description
Prepare for your Algebra Unit 2 test with these helpful flashcards. Each card covers key concepts, including definitions and graphing equations. Test your knowledge on discrete and continuous variables as well as various linear equations.