How do you determine the solutions algebraically and graphically?

To solve an equation means to find all the values that make the statement true. To solve an equation graphically, draw the graph for each side, member, of the equation and see where the curves cross, are equal. The x values of these points, are the solutions to the equation.

What does it mean if algebraically you found a solution that does not appear on the graph?

If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations. If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations.

How to find the zeros of a function on a graph?

Question: How to find the zeros of a function on a graph y=x. Here the graph of the function y=x cut the x-axis at x=0. Therefore the roots of a function f (x)=x is x=0. g (x) = x^ {2} + x – 2 g(x) = x2 + x − 2 cut the x-axis at x = -2 and x = 1.

How do you find the graph of an even function?

The graph of an even function is symmetric with respect to the y-axis, or along the vertical line x = 0. Observe that the graph of the function is cut evenly at the y-axis and each half is an exact mirror of the another.

Is f(–x) an even function?

Let us work it out algebraically. Since f (–x) = f (x), it means f (x) is an even function! The graph of an even function is symmetric with respect to the y-axis, or along the vertical line x = 0. Observe that the graph of the function is cut evenly at the y-axis and each half is an exact mirror of the another.

How do you find the intersection of a graph and function?

Functions: Graphs and Intersections Suppose f (x) and g (x) are two functions that take a real number input, and output a real number. Then the intersection points of f (x) and g (x) are those numbers x for which f (x) = g (x). Sometimes the exact values can be easily found by solving the equation f (x) = g (x) algebraically.