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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.
How is graphs and algebra related?
Graphs and algebra are closely related as graphs visually represent algebraic equations. The coordinates on a graph correspond to solutions of algebraic expressions, allowing one to see relationships between variables. For instance, a linear equation can be graphed as a straight line, with its slope and intercept providing insights into the equation's behavior. This visual representation helps in understanding concepts such as functions, inequalities, and transformations in algebra.
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.
How can you use graphs and equations to identify linear functions?
Graphs of linear functions display a straight line, indicating a constant rate of change between the variables. The equation of a linear function is typically in the form (y = mx + b), where (m) represents the slope and (b) is the y-intercept. To identify a linear function, you can check if the graph is a straight line or if the equation can be rearranged into the linear form. Additionally, the differences between consecutive y-values divided by the differences in x-values (rise over run) should remain constant.
