How do you find the point where the curve crosses the x-axis?

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How do you find the point where the curve crosses the x-axis?

College Algebra

  1. To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y.
  2. To find the x-intercept, set y = 0 \displaystyle y=0 y=0.
  3. To find the y-intercept, set x = 0 \displaystyle x=0 x=0.

What is the slope of curve when it crosses the x-axis?

16
The first derivative of the given function gives the gradient of the curve at any point. When the curve crosses the x-axis, the y- coordinate is 0. When the curve crosses the x-axis, the gradient of the curve is 16 .

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What is the y-intercept formula?

The y-intercept formula says that the y-intercept of a function y = f(x) is obtained by substituting x = 0 in it. Using this, the y-intercept of a graph is the point on the graph whose x-coordinate is 0. i.e., just look for the point where the graph intersects the y-axis and it is the y-intercept.

How do you find the y coordinate of a curve?

Substitute x = 0 in the curve’s equation to find the y coordinate of the point where the curve meets the y axis. Substitute y = 0 in the curve’s equation. If possible, solve the equation to find the x coordinate(s) of the point(s) where the curve meets the x axis.

How do you find the slope of a curved graph?

To find the slope m m m of a curve at a particular point, we differentiate the equation of the curve. If the given curve is y = f ( x ) , y=f(x), y=f(x), we evaluate d y d x \dfrac { dy }{ dx } dxdy​ or f ′ ( x ) f'(x) f′(x) and substitute the value of x x x to find the slope.

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How do you find the x intercept of the gradient function?

First we take a derivative, using power differentiation. This gives us the gradient function of the original function, so if we sub in any value of x at any of these points then we get the gradient at that point. To find the x intercept of the gradient function we set dy/dx to 0.

How do you find the equation of y intercept?

The formula for y-intercept is given by:b = y – mxWhere b is the y-intercept and m is the slope of the line. What is the equation of line with respect to x and y-intercepts? The equation of the line, when a line is intersecting the x-axis and y-axis at point a and b respectively is given by:x/a + y/b = 1.

What is the x intercept of a curve?

The answer is obvious from the name. The x intercept is the value of x for y=0, i.e., the point where the curve cuts the x axis. Similarly the y intercept is the y value for x=0, i.e., the y value where the curve cuts the y axis.

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What is the intercept value of a line?

An intercept is a point on y-axis, through which the slope of the line passes. It is the value of y-axis, where the line is crossing the axis. This is represented when we write the equation for a line. There are basically two intercepts, x-intercept and y-intercept.