Math Problem Statement
no explaining The table shows a function. Is the function linear or nonlinear? x y – 3 16 7 4 17 – 1
Solution
The function is nonlinear because the rate of change between x and y is not constant.
Would you like further details or have any questions?
Here are 5 related questions:
- How can you calculate the rate of change for a function?
- What is the difference between linear and nonlinear functions?
- How can you identify a linear function from a table?
- Can a function be nonlinear if the change in y-values is constant?
- What are some real-life examples of nonlinear functions?
Tip: In a linear function, the ratio of the change in y to the change in x (slope) remains constant.
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Math Problem Analysis
Mathematical Concepts
Algebra
Functions
Linear and Nonlinear Functions
Formulas
Slope formula: (y2 - y1) / (x2 - x1)
Theorems
Linear functions have a constant rate of change
Suitable Grade Level
Grades 6-8
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