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What similarities do all graphs of linear functions share?
They are all represented by straight lines.
What is the difference between linear and non linear graphs?
Linear graphs make straight lines. Non-linear graphs make thins like parabolas, hyperbolas, and ellipses.
Do linear graphs represent proportional relationships?
Do all linear graphs have proportional relationship
Is it possible for 2 linear functions whose graphs are parallel lines to have the same y-intercept?
Only if the two functions really represent the same function.
Are all graphs straight lines?
No, not all graphs are straight lines. Graphs can represent a wide variety of relationships, including linear, quadratic, exponential, and more complex functions. A straight line indicates a linear relationship, while curves or other shapes can indicate non-linear relationships. The type of graph depends on the mathematical function being represented.
What similarities do all graphs of linear functions share?
They are all represented by straight lines.
What is the difference between linear and non linear graphs?
Linear graphs make straight lines. Non-linear graphs make thins like parabolas, hyperbolas, and ellipses.
Do linear graphs represent proportional relationships?
Do all linear graphs have proportional relationship
Is it possible for 2 linear functions whose graphs are parallel lines to have the same y-intercept?
Only if the two functions really represent the same function.
Are all graphs straight lines?
No, not all graphs are straight lines. Graphs can represent a wide variety of relationships, including linear, quadratic, exponential, and more complex functions. A straight line indicates a linear relationship, while curves or other shapes can indicate non-linear relationships. The type of graph depends on the mathematical function being represented.
Do Linear functions have a vertex?
Linear functions do not have a vertex because they are represented by straight lines and lack curvature. A vertex is a feature of quadratic functions or other non-linear graphs where the direction of the curve changes. Linear functions are defined by the equation (y = mx + b), where (m) is the slope and (b) is the y-intercept, resulting in a constant rate of change without any turning points.
What are graphs that have connected lines or curves?
Graphs that have connected lines or curves are typically referred to as continuous graphs. These graphs represent a function or relationship where the points are connected without any breaks, indicating that for every input within a certain range, there is a corresponding output. Examples include linear functions, polynomial functions, and trigonometric functions. Continuous graphs are important in calculus and mathematical analysis because they allow for the application of concepts such as limits, derivatives, and integrals.
What graphs are used in finding trends in data?
Scatter graphs are best. Line graphs are OK if the trend is linear but not much good if the trend is non-linear.
What is the difference between a linear graph and a non linear graph?
Linear graphs make straight lines. Non-linear graphs make thins like parabolas, hyperbolas, and ellipses
What is the definition of a linear function?
a linear equation is an algebraic equation in which each term is either a constant or the product of a constant and a single variable.
When two linear functions share the same rate of change what might be different about their tables graphs and equations?
When two linear functions share the same rate of change, their graphs will be parallel lines because they have the same slope. However, their equations will differ in the y-intercept, which means they will cross the y-axis at different points. Consequently, their tables of values will show consistent differences in their outputs for the same inputs. Despite having the same slope, these differences lead to distinct linear functions.
Are linear equations and functions different?
All linear equations are functions but not all functions are linear equations.
