Explain in steps please
1 answer:
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<span>The quadratic function, y = x2, has an x-intercept at the origin = TRUE
</span>
<span>The quadratic function, y = x2 + 3, has an x-intercept at the origin = FALSE
</span>
<span>From x = -2 to x = 0, the average rate of change for both functions is positive = FALSE
When viewing a graph, you start from the left and go to right and from left to right from -2 to 0 the graph is declining.
</span><span>From x = -2 to x = 0, the average rate of change for both functions is negative = TRUE
Both are declining if you read the graph from left to right.
</span><span>For the quadratic function, y = x2, the coordinate (2, 3) is a solution to the equation of the function. = FALSE
</span><span>
y = x^2
If we insert 2 into y = x^2 we get y = 4 but our point (2,3) has y = 3
</span>For the quadratic function, y = x2 + 3, the coordinate (2, 7) is a solution to the equation of the function. = TRUE
If we insert 2 for x, we see that y = x^2 + 3 = y = 2^2 + 3 = y = 7 and our y value in the point (2,7) is 7.
<span>The quadratic function, y = x2, has an x-intercept at the origin = TRUE
</span>
<span>The quadratic function, y = x2 + 3, has an x-intercept at the origin = FALSE
</span>
<span>From x = -2 to x = 0, the average rate of change for both functions is positive = FALSE
When viewing a graph, you start from the left and go to right and from left to right from -2 to 0 the graph is declining.
</span><span>From x = -2 to x = 0, the average rate of change for both functions is negative = TRUE
Both are declining if you read the graph from left to right.
</span><span>For the quadratic function, y = x2, the coordinate (2, 3) is a solution to the equation of the function. = FALSE
</span><span>
y = x^2
If we insert 2 into y = x^2 we get y = 4 but our point (2,3) has y = 3
</span>For the quadratic function, y = x2 + 3, the coordinate (2, 7) is a solution to the equation of the function. = TRUE
If we insert 2 for x, we see that y = x^2 + 3 = y = 2^2 + 3 = y = 7 and our y value in the point (2,7) is 7.
The answer is:
(Option 1).
(Option 4).
(Option 5).
The explanation for this answer is shown below:
1. The commutative property of addtion establishes that if you change the order of the addends, the sum will not change.
2. Let's say that and
are real numbers, Then they can added them to obtain a result
:
3. If you change the order, you will obtain the same result:
4. Therefore, the only options that show the applicaction of this property, are the options shown above.