Identifying linear functions is a part of syllabus in algebra 1 (second math course). Difference between linear and nonlinear functions is as follows: the variables in the former are of 1st degree and in the latter variables will have powers other than one also. y = 2x + 5 is an example of linear function and y = x^2 (x raised to power 2) is a nonlinear function. To plot a graph of linear function, you need to make a linear function table, by calculating values of y for atleast 2 values of x. There are different forms of linear functions, such as y = mx + b and ax + by = c. Practice more linear function problems from the worksheets available here and learn more about linear functions using the other resources on this page.
The apps, sample questions, videos and worksheets listed below will help you learn Linear functions.
Is a linear function a polynomial function?
A constant function is also considered linear in this context, as it is a polynomial of degree zero or is the zero polynomial. Its graph, when there is only one independent variable, is a horizontal line.
What is the cost function?
A cost function specifies the cost C as a function of the number of items x. Thus, C(x) is the cost of x items, and has the form Cost = Variable cost + Fixed cost where the variable cost is a function of x and the fixed cost is a constant.
What are the properties of a linear function?
The constant b is the so-called y-intercept. It is the y-value at which the line intersects the y-axis. The coefficient a is the slope of the line. This measures of the rate of change of the linear function associated with the line.
Why do you think Y ax B is called a linear equation?
The value of a is 0.5 and b is zero, so this is the graph of the equation y = 0.5x+0 which simplifies to y = 0.5x. This is a simple linear equation and so is a straight line whose slope is 0.5. That is, y increases by 0.5 every time x increases by one.