In algebra, there are 3 basic types of graphs you'll see most often: linear, quadratic, and exponential. Check out this tutorial and learn how to determine is a graph represents a linear, quadratic, or exponential function!

A linear function is a function whose graph is a line. Thus, it is of the form f(x) = ax + b where 'a' and 'b' are real numbers. Learn how to find graph a linear function, what is its domain and range, and how to find its inverse?

On the graph of a linear function $latex f(x)=mx+b$, m determines the slope of that line, that is, the steepness, and b determines the y-intercept, that is, the point where the line crosses the y-axis. If you need help with this topic, check out our guide on how to graph linear functions.

To use the vertical line test to see if a graph represents a function or not, use the following three steps: Step One: Draw one or multiple vertical lines that pass through the graph. Step Two: Count how many times the vertical line (s) intersected the graph. If any vertical line intersects the graph at only one point, the relation is a function.

Linear graphs can be represented by equations. You can check to see if an equation represents a linear relationship by making a table of values. For example, let’s see if the equation y=2x represents a linear graph.

In this explainer, we will learn how to determine whether a function is linear or nonlinear. A linear function is a special type of function whose graphs are straight lines (as their name suggests).

Identify whether each graph represents a function. Explain. If the graph does represent a function, is the function linear? Example 1 : Solution : Each domain value is paired with exactly one range value. The graph forms a line. linear function. Example 2 : Solution : Each domain value is paired with exactly one range value.

May 28, 2023 · In this section, you will: Represent a linear function. Determine whether a linear function is increasing, decreasing, or constant. Interpret slope as a rate of change. Write and interpret an equation for a linear function. Graph linear functions. Determine whether lines are parallel or perpendicular.

How Can You Tell if a Function is Linear or Nonlinear From a Table? To see if a table of values represents a linear function, check to see if there's a constant rate of change. If there is, you're looking at a linear function!

Jan 17, 2018 · Interpret the equation y = m x + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear.