A function tries to define these relationsips. It tries to give the relationship a mathematical form. An equation is a mathematical way of looking at the relationship between concepts or items. These concepts or items ar represented by what are called variables.
When the equation represents a horizontal line.
x2+8= y This equation represents a function. It will be a parabola with the vertex at (0,8). You can easily graph this on a graphing calculator or from prior knowledge. You know the basic graph of y=x2 with vertex (0,0) and opens upwards on the y-axis. From the equation, you simply shift the vertex vertically up 8 so the new vertex is (0,8) This represents a function because for every x value there is one y value.
f(x) = mx + bRestate the question: What are the functions that can represent a straight line?The equation y=mx + b represents all straight lines except for a vertical line, which has undefined slope.In function form, this is f(x) = mx + b. m represents the slope, and b the y-intercept.x = a represents a vertical line, which is not a function.The 'general form' of the straight line equation is Ax +By + C = 0. As long as B is not zero, this is a function.
As a straight line equation: y = -3x+18 in slope intercept form
An equation just has an equal sign. A function is basically just an equation without one!
The [ 2x + 1 ] represents a function of 'y' .
If the function is a straight line equation that passes through the graph once, then that's a function, anything on a graph is a relation!
A derivative of a function represents that equation's slope at any given point on its graph.
A derivative of a function represents that equation's slope at any given point on its graph.
The letter f represents function notation, and replaces y as a variable. f(x)=ax+b is a linear function.
Because f represents a function.
When the equation represents a horizontal line.
It might have been possible to answer the question if you had bothered to include any equations below. But since you haven't there can be no answer.
You can tell if an equation is a function if for any x value that you put into the function, you get only one y value. The equation you asked about is the equation of a line. It is a function.
x2+8= y This equation represents a function. It will be a parabola with the vertex at (0,8). You can easily graph this on a graphing calculator or from prior knowledge. You know the basic graph of y=x2 with vertex (0,0) and opens upwards on the y-axis. From the equation, you simply shift the vertex vertically up 8 so the new vertex is (0,8) This represents a function because for every x value there is one y value.
f(x) = mx + bRestate the question: What are the functions that can represent a straight line?The equation y=mx + b represents all straight lines except for a vertical line, which has undefined slope.In function form, this is f(x) = mx + b. m represents the slope, and b the y-intercept.x = a represents a vertical line, which is not a function.The 'general form' of the straight line equation is Ax +By + C = 0. As long as B is not zero, this is a function.
The list of choices that came along with the questiondoesn't include any graph that represents that equation.