Question

Which is a y-intercept of the continuous function in the table? (0, –6) (–2, 0) (–6, 0) (0, –2)

Answer 1

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

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

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: //brainly.com/question/2723982

the inverse of the function f (x) = 2x-10

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domain of the function

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Keywords: y-intercept,the continuous function

Answer 2

Y- intercept is a point where any graph crosses the y- axis.

X- intercept is a point where any graph crosses the x- axis.

This means the coordinate of the point of intersection will always have the x point as 0. So any point of the form ( 0, y) is the y- intercept. Any point of the form (x,0) is the x- intercept.

Given point are :

(0,-6) : y intercept

(-2,0) : x intercept

(-6,0): x- intercept

(0,-2): y- intercept