Questions and Answers
What is a linear graph?
What is the formula for a linear graph?
y=mx+b
What type of graph is represented by the formula y=(x^?) with ? being any number greater than 1?
What shape does a negative exponential graph create?
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What defines a quadratic graph?
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An odd function is symmetrical around the origin.
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An even function is symmetrical with respect to the y-axis.
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Study Notes
Types of Graphs
-
Linear Graph:
- Displays data in a straight line.
- Follows the formula: y = mx + b.
- Components:
- y: y-coordinate
- m: slope
- x: x-coordinate
- b: y-intercept.
-
Positive Exponential Graph:
- Characterized by a J-shaped curve.
- Expressed by the equation: y = (x^?).
- Here, ? is any number greater than 1.
-
Negative Exponential Graph:
- Features a downward-sloping curve.
- Defined by: y = (x^?).
- In this case, ? is any number greater than 0 but less than 1 (0 < ? < 1).
-
Quadratic Graph:
- Presents a U-shaped curve, demonstrating a parabolic pattern.
-
Odd Function:
- Defined by the property f(-x) = -f(x).
- Exhibits symmetry around the origin, indicating that the function's values are opposite for inputs that are equally distant from zero.
-
Even Function:
- Characterized by the identity f(-x) = f(x).
- Symmetrical with respect to the y-axis, meaning that the function's values remain the same for mirrored inputs about the y-axis.
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Description
Explore different types of graphs in Algebra 1 through this quiz. Understand linear graphs, positive exponential graphs, and negative exponential graphs with their definitions and formulas. Master these concepts to enhance your algebraic skills.
