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3 years ago

Determine the domain of the following graph:

Mathematics

1 answer:

Sonbull [250]3 years ago

5 0

Hi there! :)

$\large\boxed{[-6, 6]}$

The domain of a graph consists of its x-values.

In this graph, we can see endpoints at the value x = -6 and x = 6.

Thus, the domain is from x = -6 to 6.

Since we have endpoints, however, we can use closed brackets "[]" to denote the domain in interval notation. Therefore, the domain of this function is:

[-6, 6].

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If you chose an angle, how are the construction steps you completed similar to the steps you would have taken to construct and b

valentinak56 [21]

There are different ways to construct an angle. The steps used in making a line segment are; First, you have to put the compass at one specific end of the line segment. Then you shift the compass slowly a little bit so it will be longer than half the length of the line segment. Then you have to draw arcs up and down the line. while using the same compass width, you then draw arcs from one specific end of the line. and thereafter you put your ruler at the point where the arcs cross, and you then draw the line segment. The difference is that to bisect an angle, one has to divide the shape or angle into two congruent parts while in the construction of a line segment, there are differences in length. What is the construction process of Angles? This entails a good construction process in making angles. They are step-by-step processes used to produce detailed and exact geometric figures.

7 0

2 years ago

Find the equation of the linear function represented by the table below in slope-

Eva8 [605]

Answer:

f(x) = 5x - 5

Step-by-step explanation:

Let the equation of the linear function is,

f(x) = mx + b

Here, m = Slope of the graph

b = y-intercept

Slope of the line passing through $(x_1,y_1)$ and $(x_2,y_2)$ is given by,

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

From the table attached,

Slope of the line passing through (2, 5) and (6, 25) will be,

m = $\frac{25-5}{6-2}$

m = 5

Equation of the linear function will be,

f(x) = 5x + b

Since, a point (10, 45) lies on the function,

45 = 5(10) + b

b = 45 - 50

b = -5

Equation of the linear function will be,

f(x) = 5x - 5

4 0

3 years ago

Find the 10th term of the arithmetic sequence with the terms a1=15 and d=80

Alchen [17]

Answer:

The 10th term is 735

Step-by-step explanation:

The 10th term of an <em>Arithmetic Sequence </em>is given by:

$a_{10}=a_1+9d$

From the question, we were given that:

$a_{1}=15$

and

$d = 80$

We substitute these values into the above expresion to obtain:

$a_{10}=15+9 \times 80$

$a_{10}=15+720$

$a_{10} = 735$

8 0

4 years ago

What is the effect on the graph of the function f(x) = x when f(x) is replaced with -1/2 f(x)?

inn [45]

Answer:

The correct option is B.

Step-by-step explanation:

The given function is

$f(x)=x$

The new function is

$g(x)=-\frac{1}{2}f(x)$

$g(x)=-\frac{1}{2}x$ .... (1)

It is in the form of

$g(x)=mx$ .... (2)

Where, m is a constant.

If m is negative, then there is a vertical reflection over x-axis. If the constant is greater than 1, we get a vertical stretch and if the constant is between 0 and 1, we get a vertical compression.

From (1) and (2), we get

$m=-\frac{1}{2}$

Since the value of m is negative and absolute value of m is between 0 and 1, therefore the graph g(x) shows the vertical reflection over x-axis and vertical compression.

Option B is correct.

4 0

3 years ago

Text-to-Speech<br> 13. Evaluate the expression 3x2 + 5y for x = 4 and y = 2.

GaryK [48]

Answer: (58)

Step-by-step explanation:

3(42)+(5)(2)

=(3)(16)+(5)(2)

=48+(5)(2)

=48+10

=58

8 0

4 years ago