A x-intercept of the continuous function in the table is (–1, 0) and (–6, 0)
Further explanation
Straight-line equations are mathematical equations that are described in the plane of cartesian coordinates
A linear equation is an equation with 2 variables
General formula
y-y1 = m (x-x1)
or
y = mx + c
Where
m = straight-line gradient which is the slope of the line
x1, y1 = the Cartesian coordinate that is crossed by the line
c = constant m = Δy / Δx
The formula for a gradient (m) between 2 points in a line
m = Δy / Δx
[tex]\large{\boxed{\bold{m=\frac{y_2-y_1}{x_2-x_1}}}[/tex]
Straight line equation, can be stated in:
- y = mx
- ax + by = ab
- y = a
- x = a
- etc.
The graph of this equation is a line
It takes at least 2 points to draw a graph of the line equation in the coordinate plane
A discrete function consists of points that have been determined
If we extend the line in both directions we will get a continuous function
The x-intercept: the point in which a line equation crosses the x-axis (the value of x when y = 0, (x, 0))
The y-intercept: the point in which a line equation crosses the y-axis (the value of y when x = 0, (0, y))
To find the correct x-intercept for the continuous function of the answer choices above, is to select a pair of points that have the value y = 0, i.e. point (–1, 0) and (–6, 0)
Learn more
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Keywords: x-intercept,the continuous function
