Podcast
Questions and Answers
What is the main difference between linear and nonlinear functions?
What is the main difference between linear and nonlinear functions?
- Linear functions have a variable slope, while nonlinear functions have a constant slope.
- Linear functions have exponents higher than 1, while nonlinear functions have exponents equal to or less than 1.
- Linear functions always have a y-intercept, while nonlinear functions never have a y-intercept.
- Linear functions form a straight line on a graph, while nonlinear functions form a curve. (correct)
Which type of function forms a curve when plotted on a graph?
Which type of function forms a curve when plotted on a graph?
- Linear function
- Nonlinear function (correct)
- Function with high exponents
- Function with a constant slope
What characteristic of a linear function ensures the slope is constant?
What characteristic of a linear function ensures the slope is constant?
- Forming a straight line on a graph (correct)
- Forming a curve on a graph
- Having no y-intercept
- Having a high exponent
In which type of function can the equation be written in the form y = mx + c?
In which type of function can the equation be written in the form y = mx + c?
What is a distinguishing feature of nonlinear functions in terms of exponents?
What is a distinguishing feature of nonlinear functions in terms of exponents?
Why is it easier to determine if a function is linear by looking at its graph?
Why is it easier to determine if a function is linear by looking at its graph?
What aspect of the equation y = mx + c helps identify a linear function?
What aspect of the equation y = mx + c helps identify a linear function?
What is the best way to find the y-intercept of a line?
What is the best way to find the y-intercept of a line?
In a nonlinear function, why is the slope not constant?
In a nonlinear function, why is the slope not constant?
When is an equation classified as linear?
When is an equation classified as linear?
Which type of equation forms a straight line graph?
Which type of equation forms a straight line graph?
What characteristic defines a polynomial?
What characteristic defines a polynomial?
What happens when the highest exponent in a polynomial is 2?
What happens when the highest exponent in a polynomial is 2?
Why is Example 4 considered a nonlinear graph?
Why is Example 4 considered a nonlinear graph?
What distinguishes linear and nonlinear equations based on their degrees?
What distinguishes linear and nonlinear equations based on their degrees?
