Want this question answered?
I don't understand your question but y=3x is the function of a graph, to graph the function you would plug points into the function such as x=0, x=1, x=-1 and you would find the y values at each point so that you can graph it. In this case the graph is a parabola which has a u shape.
For a graph to be a function, each x-value has to take maximum one y-value. One way you can check this is drawing a vertical lines through points on the graph. If a single vertical line intersects the graph in more than one place, that means the x-value defining the line has more than one y-value, and the graph is not a function.tl;dr: Draw vertical lines through the function, and if the lines only intersect the graph once, you have a function.
You substitute the value of the variable into the quadratic equation and evaluate the expression.
The Quadratic formula in mathematics is used to solve quadratic equations in algebra. The simplest way to solve these equations is to set each of the factors to zero and then solve each factor separately.
It depends what you are trying to accomplish, but sometimes you pick a value of x. For example, if you want to graph a function, one approach is to pick several different values of x, solve the equation for each value, and write that as a point on the graph. It may then be possible to connect the points into some kind of coherent shape (although this depends upon the particular function - some are easier to graph than others).
You should always use the vertex and at least two points to graph each quadratic equation. A good choice for two points are the intercepts of the quadratic equation.
Assume the rational function is in its simplest form (if not, simplify it). If the denominator is a quadratic or of a higher power then it can have more than one roots and each one of these roots will result in a vertical asymptote. So, the graph of a rational function will have as many vertical asymptotes as there are distinct roots in its denominator.
A function must have a value for any given domain. For each edge (or interval), the sign graph has a sign (+ or -) . So, it is a function.
Graph each "piece" of the function separately, on the given domain.
Because each vertical lines meets its graph in a unique point.
Yes, a piecewise graph can represent a function as long as each piece of the graph passes the vertical line test, meaning that each vertical line intersects the graph at most once. This ensures that each input has exactly one output value.
Yes, what you do is imagine the function "reflected" across the x=y line. Which is to say you imagine it flipped over and 'laying on its side". Functions have only one value of y for each value of x. That would not be the case for a "flipped over" quadratic function
I don't understand your question but y=3x is the function of a graph, to graph the function you would plug points into the function such as x=0, x=1, x=-1 and you would find the y values at each point so that you can graph it. In this case the graph is a parabola which has a u shape.
A bar graph would be ideal for comparing the amount of rainfall each month for one year as it allows for a clear visualization of the differences in rainfall between each month.
answer is:Find the function's zeros and vertical asymptotes, and plot them on a number line.Choose test numbers to the left and right of each of these places, and find the value of the function at each test number.Use test numbers to find where the function is positive and where it is negative.Sketch the function's graph, plotting additional points as guides as needed.
There is a method called a vertical line test. A function is defined as a system that has one output for each input. Therefore for every x, there is only one y. So if you draw a vertical line anywhere and you get more than one point that intersects the graph, it is not a function. If it intersects only once, the graph is a function.
For a graph to be a function, each x-value has to take maximum one y-value. One way you can check this is drawing a vertical lines through points on the graph. If a single vertical line intersects the graph in more than one place, that means the x-value defining the line has more than one y-value, and the graph is not a function.tl;dr: Draw vertical lines through the function, and if the lines only intersect the graph once, you have a function.