Which is a y-intercept of the continuous function in the table? (0, –6) (–2, 0) (–6, 0) (0, –2)
2 answers:
The y-intercept corresponding to the continuous function in the table is (0, –6).
Explanation
Linear equations refer to mathematical formulas represented in the plane of Cartesian coordinates.
A linear equation involves two variables.
Commonly used formulas include:
y-y1 = m (x-x1)
or
y = mx + c
Where:
m denotes the slope of the line
and x1, y1 are the intersecting Cartesian coordinates of the line
and c is the constant.
Moreover, the slope (m) can be derived between two points on a line:
m = Δy / Δx
In the linear equation context, it can also be expressed as:
- y = mx
- ax + by = ab
- y = a
- x = a
- etc.
The representation of this equation yields a straight line.
To sketch a graph of a linear equation within the coordinate plane, at least 2 points are required.
A discrete function comprises defined points.
By extending the line in both directions, we conceive a continuous function.
The x-intercept: denotes the point where a line intersects the x-axis (the value of x when y = 0, (x, 0)).
The y-intercept: denotes the point where a line crosses the y-axis (the value of y when x = 0, (0, y)).
We complete the answer choices not already accounted for in the example above.
There are four points identified for selecting the y-intercept, which are (-4, -10),
(-3.0), (-2.0), (-1, -4), (0, -6), (1,0).
To identify the correct y-intercept for the continuous function among the given selections, we must opt for a point where the x-value is 0, specifically point (0, -6).
Additional Resources
F (x) = x² + 1 g (x) = 5 - x
Link:
The inverse function f (x) = 2x-10
Link:
Exploring the function's domain
Link:
Keywords: y-intercept, the continuous function
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