Fifteen more than z times 6 is 11 less than y times 2
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Answer:
Step-by-step explanation:
From the table of function given, you would observe that if you subtract 2 from half of the x-variable values, you'd get the y-variable values.
For example, half of -8 = -4. If you add 2 to -4, you'd get: -4 + 2 = -2. Same applies to other x-values on the table.
Thus, an expression for the function represented by the table values can be written as,
Zeroes:
We must solve
To do so, we define the auxiliary variable . The equation becomes
The quadratic formula yields the solutions
Substituting back gives
So, the zeroes are -6, -3, 3, 6.
Turning points:
Turning points are points where a function stops being increasing to become decreasing, or vice versa. Since functions are increasing when their first derivative is positive and decreasing when it's negative, turning points are points where the first derivative is zero.
We have
If we set the derivative to be zero, we have
So, the derivative is zero if x=0 or
