Podcast
Questions and Answers
What is the rule for a Constant (P-Function)?
What is the rule for a Constant (P-Function)?
What does the graph of a Constant (P-Function) look like?
What does the graph of a Constant (P-Function) look like?
Straight line
What is the domain of a Constant (P-Function)?
What is the domain of a Constant (P-Function)?
R
What is the range of a Constant (P-Function)?
What is the range of a Constant (P-Function)?
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Where does a Constant (P-Function) intersect the y-axis?
Where does a Constant (P-Function) intersect the y-axis?
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What is the function for a Linear (P-Function)?
What is the function for a Linear (P-Function)?
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What is the range of a Linear (P-Function)?
What is the range of a Linear (P-Function)?
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Where does a Linear (P-Function) intersect the y-axis?
Where does a Linear (P-Function) intersect the y-axis?
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What is the standard function of a Quadratic (P-Function)?
What is the standard function of a Quadratic (P-Function)?
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What is the shape of the graph of a Quadratic (P-Function)?
What is the shape of the graph of a Quadratic (P-Function)?
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What is the domain of a Quadratic (P-Function)?
What is the domain of a Quadratic (P-Function)?
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What is the range of a Quadratic (P-Function)?
What is the range of a Quadratic (P-Function)?
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Where does a Quadratic (P-Function) intersect the y-axis?
Where does a Quadratic (P-Function) intersect the y-axis?
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What is the function for a Cubic (P-Function)?
What is the function for a Cubic (P-Function)?
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What is the shape of the graph of a Cubic (P-Function)?
What is the shape of the graph of a Cubic (P-Function)?
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What is the domain of a Cubic (P-Function)?
What is the domain of a Cubic (P-Function)?
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What is the range of a Cubic (P-Function)?
What is the range of a Cubic (P-Function)?
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Where does a Cubic (P-Function) intersect the y-axis?
Where does a Cubic (P-Function) intersect the y-axis?
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What is the function for a Square Root (P-Function)?
What is the function for a Square Root (P-Function)?
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What is the slope of the graph of a Square Root (P-Function)?
What is the slope of the graph of a Square Root (P-Function)?
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What is the domain of a Square Root (P-Function)?
What is the domain of a Square Root (P-Function)?
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What is the range of a Square Root (P-Function)?
What is the range of a Square Root (P-Function)?
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Where does a Square Root (P-Function) intersect the y-axis?
Where does a Square Root (P-Function) intersect the y-axis?
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How can more data points help in identifying parent functions?
How can more data points help in identifying parent functions?
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What is helpful to remember about vertical and horizontal translations?
What is helpful to remember about vertical and horizontal translations?
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In a horizontal stretch or compression, what happens to y-intercepts?
In a horizontal stretch or compression, what happens to y-intercepts?
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In a vertical stretch or compression, what happens to x-intercepts?
In a vertical stretch or compression, what happens to x-intercepts?
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The correlation coefficient $r$ is a value in the range _____
The correlation coefficient $r$ is a value in the range _____
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Study Notes
Parent Functions
-
Constant Function (P-Function):
- Defined by f(x) = c
- Graph is a straight line
- Domain is all real numbers (R)
- Range is a single value: y = c
- Intersects Y-axis at point (0, c)
-
Linear Function (P-Function):
- Defined by f(x) = x
- Graph is a diagonal line through the origin
- Domain is all real numbers (R)
- Range is all real numbers (R)
- Intersects at point (0, 0)
-
Quadratic Function (P-Function):
- Defined by f(x) = x²
- Graph is a parabola opening upwards
- Domain is all real numbers (R)
- Range is y > 0
- Intersects at point (0, 0)
-
Cubic Function (P-Function):
- Defined by f(x) = x³
- Graph consists of two halves of a parabola
- Domain is all real numbers (R)
- Range is all real numbers (R)
- Intersects at point (0, 0)
-
Square Root Function (P-Function):
- Defined by f(x) = √x
- Graph shows an upward slope
- Domain is x > 0
- Range is y > 0
- Intersects at point (0, 0)
Helpful Tips
-
Identifying Parent Functions:
- A greater number of data points improves the accuracy of matching to a parent function.
-
Transforming Linear Functions:
- For translations: "Add to y, go high; Add to x, go left."
-
Intercept Properties:
- Horizontal stretches/compressions do not affect y-intercepts.
- Vertical stretches/compressions do not affect x-intercepts.
Correlation Coefficient Properties
- The correlation coefficient, denoted as r, ranges from -1 to 1.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Prepare for your Algebra 2 Honors midterm exam with these flashcards covering key polynomial functions. Each card includes the function type, definition, and graphical characteristics, helping you solidify your understanding and readiness for the test.
