Which table represents a quadratic function?
1 answer:
9514 1404 393
Answer:
see below
Step-by-step explanation:
The x-values in each table are evenly-spaced (increasing by 2). So, the quadratic function can be identified by its second differences: they will be a non-zero constant.
Table 1 has first differences that are constant at 3. -2-(-5) = 3, for example. It represents a linear function.
Table 2 has first differences of 4, 8, 4, 4, neither constant, nor linearly increasing. The function does not have a name.
Table 3 has first differences of -9, -3, +3, +9, and these have differences of +6. This represents a quadratic function.
Table 4 has first differences of 0.5, 1, 2, 4. These have a constant ratio, as do the values in the table. It represents an exponential function.
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Answer:
The pairs of integer having two real solution for are
Step-by-step explanation:
Given
Now we will solve the equation by putting all the 6 pairs so we get the following
for
for
for
for
for
for
The above all are Quadratic equations inn general form
where we have a,b and c constant values
So for a real Solution we must have
for we have
which is less than 0 ∴ not a real solution.
for we have
which is greater than 0 ∴ a real solution.
for we have
which is greater than 0 ∴ a real solution.
for we have
which is greater than 0 ∴ a real solution.
for we have
which is equal to 0 ∴ a real solution.
for we have
which is less than 0 ∴ not a real solution.