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Answer: The below figure shows the graph of f(x).
Explanation: Given function,
Since, here three conditions are given,
In first case for values x<-5 , f(x)=5, so we get a line y=5 parallel to x-axis which passes through point (0,5).
In second case, for values , f(x) =-2, so we get a line y=-2 parallel to x-axis which passes through point (0,-2).
In third case, for values x>6, f(x)=1, so we get a line y=1 parallel to x-axis which passes through point (0,1).
Thus, these three lines make the piecewise-defined function f(x).
<h2>Perfect Squares</h2>
Perfect square formula/rules:
Trinomials are often organized like .
The <em>b</em> value in this case is <em>c</em>, and it will always equal the square of half of the <em>b</em> value.
- Perfect square trinomial:
- or
We're given:
In a trinomial, we're given the and
values. <em>a</em> in this case is 1 and <em>b</em> in this case is 4. To find the third value by dividing 4 by 2 and squaring the quotient:
- 4 ÷ 2 = 2
- 2² = 4
Therefore, the term that we can add is + 4.
To write this as the square of a bracketed expression, we can follow the rule :