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Which set of points could represent a linear function?
A set of points forming a straight line.
What does a solid dot mean on a piecewise function represent?
It could represent a point whose coordinates do satisfy the requirements of the function.
What is 3x plus 2 an example of?
It could be a function or a linear expression.
Does y0 represent y as a function of x?
y0(x) could represent a function of x but usually y(0) represents the function y that is evaluated at x = 0 and so is no longer a function of x but a constant.
Which letter when drawn on the coordinate plane could represent a function?
The letter V represents a function when drawn on a coordinate plane.
What are 3 different methods that can graph a linear equation?
You could put the equation in slope-intercept form or in parent linear function or even make a table of values.
What is a linear demand function?
It is a function of the form D = ax + b where a and b are some constants and x is a variable which is linearly related to the demand. x could be the price of the goods in question, or be the price of a complementary good, a substitute, or it could be income, or time. Also, a linear relationship does not mean a causal relationship.
What is the line graph in which the data points do not fallalong a straight line?
A non-linear graph. It could be a polynomial (of a degree greater than 1), a power function, a logarithmic or trigonometric graph. In fact any mathematical function other than a linear equation.
Which equation could represent the area of a square as a function of a side?
A=S2... Where A = area, and S = length of one side.
Which of these could not possibly represent a function?
Such as?!?! You have not give us any specific to go on so we couldn't possibly begin to answer that!
Is the circumference of a circle a linear function of its radius?
Yes.You could also state that the circumference is directly proportional to the radius. The proportionality constant is (2 pi).
What is the minimum number of constraints a linear programming problem can have?
One. To be a (non-trivial) linear programming problem both the objective function and the constraints must be linear. If there were no constraints then the objective function could be made arbitrarily large or arbitrarily small. (Think of a line in two-space.) By adding one constraint the objective function's value can be limited to a finite value.
