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jeka94
3 years ago
14

Which is an x-intercept of the continuous function in the table?

Mathematics
2 answers:
Airida [17]3 years ago
8 0

we know that

The x-intercept is the value of the variable x when the value of the function is equal to zero

so

In the table we have

(-1, 0) is a x-intercept, because

For x=-1 the value of the function is equal to zero

(-6, 0) is a x-intercept, because

For x=-6 the value of the function is equal to zero

therefore

<u>the answer is</u>

the continuous function in the table has two x-intercepts

(-1, 0)

(-6, 0)

Otrada [13]3 years ago
4 0

A x-intercept of the continuous function in the table is <u>(–1, 0) and (–6, 0)</u>

<h3>Further explanation </h3>

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

<h3>y-y1 = m (x-x1) </h3>

or

<h3>y = mx + c </h3>

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

\large{\boxed{\bold{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))

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)

<h3>Learn more </h3>

F (x) = x2 + 1 g (x) = 5 - x

htps: //brainly.com/question/2723982

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

brainly.com/question/628130

domain of the function

brainly.com/question/4135536

Keywords: x-intercept,the continuous function

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