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Algebra 1 Types of Graphs

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Questions and Answers

What is a linear graph?

A graph going downwards

A U-shaped curve

A graph that forms a J-shaped curve

A graph in which the displayed data form a straight line (correct)

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?

Linear graph

Negative Exponential Graph

Quadratic graph

Positive Exponential Graph (correct)

What shape does a negative exponential graph create?

A curve going downwards Signup and view all the answers

What defines a quadratic graph?

U-shaped curve Signup and view all the answers

An odd function is symmetrical around the origin.

True Signup and view all the answers

An even function is symmetrical with respect to the y-axis.

True Signup and view all the answers

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.