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Usimov [2.4K]
1 year ago
13

Given the graph of f(x), find each of the following:

Mathematics
1 answer:
Y_Kistochka [10]1 year ago
5 0

The value of the function at x = -1, 0, 1, 2, and 3 will be -4, 3, 2, -1, and 0, respectively.

<h3>What is a function?</h3>

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

From the graph of f(x), then the value of the function at x = -1, 0, 1, 2, and 3 will be given as,

x             f(x)                        Feedback

-1             -4               Point is in the fourth quadrant

0              3                      Point is in the y-axis

1               2               Point is in the first quadrant

2             -1               Point is in the second quadrant

3              0                      Point is in the x-axis

More about the function link is given below.

brainly.com/question/5245372

#SPJ1

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Line 1 passes through the points A(-15,-8) and B(-3,0). Line 2 has
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The equation of line 3 is;

y = \frac{2}{3} x + 6

Step-by-step explanation:

Line 1 passes through the points A(-15,-8) andn B(-3,0)

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5x - 3y + 18 = 0

Line 3 is parallel to line 1 and has the same y-intercept as line 2.

We are to determine the equation of line 3.

<u>Equation of line 1:</u>

<u />

Slope = change in y-axis ÷ change in x-axis

The slope of line 1 = \frac{0 - -8}{-3 - -15}  = \frac{8}{12} = \frac{2}{3}

Picking another point (x,y) on the line;

Slope = \frac{y - 0}{x - -3}  = \frac{2}{3}

y = \frac{2}{3} x + 2 (this is the equation of line 1)

<u>Equation of line 2:</u>

<u />

We put the equation given, of line 2, in the cartesian plane format;

3y = 5x + 18

y = \frac{5}{3} x + 6

Finally, the equation of line 2 is;

y = 1\frac{2}{3} x + 6

<u>Equation of line 3:</u>

<u />

Given: Line 3 is parallel to line 1

The slopes of two parallel lines are the same so line 3 has a slope of \frac{2}{3}

Given: Line 3 has the same y-intercept as line 2

The y-intecept of line 2 is 6 (y-intercept is the value of y when x = 0)

So the equation of line 3 is;

y = \frac{2}{3} x + 6

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3 years ago
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