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How many times does the graph of the function below touch or cross the x-axis 4x2-7x 40?
Without knowing the plus or minus value of 40 it's difficult to say but in general:-
If the discriminant of a quadratic equation = 0 then it touches the x axis at 1 point
If the discriminant is greater than zero then it touches the x axis at 2 points
If the discriminant is less than zero then it does not touch the x axis
What else can I help you with?
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.
Is it possible for graph of function to cross the horizontal assymptotes?
When you plot a function with asymptotes, you know that the graph cannot cross the asymptotes, because the function cannot be valid at the asymptote. (Since that is the point of having an asymptotes - it is a "disconnect" where the function is not valid - e.g when dividing by zero or something equally strange would occur). So if you graph is crossing an asymptote at any point, something's gone wrong.
If the discriminant is negative the graph of a quadratic function will cross or touch the x-axis time s?
If the discriminant is negative, the equation has no real solution - in the graph, the parabola won't cross the x-axis.
How do you recognize a function graph?
Assuming that the independent variable (often called "y") is along the vertical axis: to be a function, no vertical line may cross the graph in more than one place.
How many times will the graph of a quadratic function cross or touch the x axis if the discriminant is zero?
Once.
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.
An asymptote is a line that the graph of a function?
approaches but does not cross
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.
If the discriminant is negative the graph of a quadratic function will cross or touch the x-axis?
No, it will be entirely above the x-axis if the coefficient of x2 > 0, or entirely below if the coeff is <0.
What is the maximum number of times the graph of the quadratic function can cross the x-axis?
Two.
Given the function below what is the value of the discriminant and how many times does the graph of this function intersect or touch the x-axis?
Discriminant = 116; Graph crosses the x-axis two times
Is it possible for graph of function to cross the horizontal assymptotes?
When you plot a function with asymptotes, you know that the graph cannot cross the asymptotes, because the function cannot be valid at the asymptote. (Since that is the point of having an asymptotes - it is a "disconnect" where the function is not valid - e.g when dividing by zero or something equally strange would occur). So if you graph is crossing an asymptote at any point, something's gone wrong.
Why area below the distance-time graph is used to calculate speed?
That's not correct. If you have a graph of distance as a function of time, the speed is the slope of the graph.
How many times will the graph of a quadratic function cross or touch the x-axis if the discriminant is positive?
It will cross the x-axis twice.
If the discriminant is zero the graph of a quadratic function will cross or touch the x-axis time s?
It will touch the x-axis and not cross it.
If the discriminant is negative the graph of a quadratic function will cross or touch the x-axis time s?
If the discriminant is negative, the equation has no real solution - in the graph, the parabola won't cross the x-axis.
