Answer:
The domain of the function is the set of all real numbers; the range of the function is the set of all nonnegative real numbers; the graph has an intercept at (0, 0); and the graph is symmetric with respect to the y-axis.
Step-by-step explanation:
This is not a square root function, this is a quadratic function, which has an x².
The domain, or set of x-values, is all real numbers. This is because all numbers work for x.
The range, or set of y-values, is the set of all nonnegative real numbers. This is because all numbers we get for y are positive real numbers.
The graph intersect both the x- and y-axis (x-intercept and y-intercept) at (0, 0).
The graph is decreasing on the interval x<0 and increasing on the interval x>0, not the other way around.
The graph has a minimum at (0, 0), not a maximum.
The graph can be folded in half along the y-axis, so it is symmetric with respect to the y-axis.
The value of a in the given coordinates is 2.25.
<h3>Length of the lines joining the points</h3>
Apply Pythagoras theorem to determine the length of the lines.
|AC|² = |AB|² + |BC|²
(1 - 3)² + (10 - a)² = (3 - 3)² + (2 - a)² + (1 - 3)² + (10 - 2)²
4 + 100 - 20a + a² = 4 - 4a + a² + 4 + 64
104 - 20a + a² = 68 - 4a + a²
104 - 20a = 68 - 4a
104 - 68 = 20a - 4a
36 = 16a
a = 36/16
a = 2.25
Thus, the value of a in the given coordinates is 2.25.
Learn more about length of lines here: brainly.com/question/1597347
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Since the line 3y = 2x+6 can be simplified to
y = 2/3 x + 2, this would lead it to have a y of 6 when it has an x of 6
Using this, it's possible to subtract 6 from the y value to get to 0, and subtract another 4 to get to -4 (while x is six)
In the equation, this would mean just subtracting:
y = 2/3 x - 4 (after subtracting six from other)
- 4
Equation and answer:
y = 2/3 x - 8
To check : Substitute x with 6;
2/3(6) - 8
4 - 8
-4
When X is 6, Y is -4;
Answer:
Step-by-step explanation:
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