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At which points does the graph of the function y equals x2 plus 4x-12 cross the x-axis?
To determine the x-intercepts, i.e. the roots, of the equation y = x2 + 4x - 12, simply solve the quadratic equation x2 + 4x - 12 = 0.
Recall that the roots of a quadratic equation Ax2 + Bx + C = 0 are given by the solution x = (-B +/- square-root (B2 - 4AC) / 2A.
Plug the coefficients A=1, B=4, and C=-12 into this equation and you get.
x = 4 and X = -12
So the function crosses the X axis at x=4 and x=-12.
Note: If the discriminant, B2 - 4AC, were zero, there would be one real root instead of two. If it were negative, there would be two complex conjugate roots.
What else can I help you with?
A value is in the domain of a function if there is a what on the graph of the function at that x-value?
points
How can you tell if a graph sHow is a function?
Test it by the vertical line test. That is, if a vertical line passes through the two points of the graph, this graph is not the graph of a function.
An asymptote is a line that the graph of a function?
approaches but does not cross
Can the graph of a function yfx always cross the y-axis?
No. It depends on the function f.
The points on a line graph not always connected because?
The function is not continuous.
What points lies on the graph of the function y equals 4x?
Since there are no "following" points, none of them.
What is y equals 3x?
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.
How do you calculate critical points of derivatives?
The "critical points" of a function are the points at which the derivative equals zero or the derivative is undefined. To find the critical points, you first find the derivative of the function. You then set that derivative equal to zero. Any values at which the derivative equals zero are "critical points". You then determine if the derivative is ever undefined at a point (for example, because the denominator of a fraction is equal to zero at that point). Any such points are also called "critical points". In essence, the critical points are the relative minima or maxima of a function (where the graph of the function reverses direction) and can be easily determined by visually examining the graph.
When the discriminant is negative will the graph of the function cross or touch?
The graph will cross the y-axis once but will not cross or touch the x-axis.
A value is in the domain of a function if there is a what on the graph of the function at that x-value?
points
How can you tell if a graph sHow is a function?
Test it by the vertical line test. That is, if a vertical line passes through the two points of the graph, this graph is not the graph of a function.
An asymptote is a line that the graph of a function?
approaches but does not cross
The graph of a function of the form y equals ax passes through which points?
The origin and infinitely many other points of the form (x, ax) where x is any real number.
How can you define when the Graph is Function or not?
If a graph is a function, it will always have y=... or x=... (or anoher letter equals an equation) for example y= 3x-12 is a function
Why doesnt the graph of a rational function cross its vertical asymptote?
It can.
Can the graph of a function yfx always cross the y-axis?
No. It depends on the function f.
How can you tell if a function is a function?
The vertical line test can be used to determine if a graph is a function. If two points in a graph are connected with the help of a vertical line, it is not a function. If it cannot be connected, it is a function.
