A y-intercept of the continuous function in the table is (0, –6)
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
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))
We complete the possible answer choices that do not yet exist in the problem above
There are four points given for the y-intercept choice which are (-4, -10),
(- 3.0), (- 2.0), (- 1, -4), (0, -6), (1,0)
To find the correct y-intercept for the continuous function of the answer choices above, is to select a pair of points that have the value x = 0, i.e. point (0, -6)
Learn more
F (x) = x2 + 1 g (x) = 5 - x
htps: //link
the inverse of the function f (x) = 2x-10
link
domain of the function
link
Keywords: y-intercept,the continuous function
