Question

Q. 11 The range of the function f(x) = 3x-2 is.
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Answer 1

Answer:

As a quadratic equation, this has a graph represented by a parabola. We know that the parabola opens up since the leading coefficient is positive. So the range of the function will be from the y-value of the vertex to infinity. We just need to determine the vertex.

We can put the function in vertex form by completing the square:

y+8=3x2+6x

y+8=3(x2+2x)

y+8+3=3(x2+2x+1)

y+11=3(x+1)2

y=3(x+1)2–11

This is vertex form, and we can see that the vertex of the parabola is (-1, -11). Thus, the range of the function is [-11,∞).

Answer 2

Answer:

3x-2 = 3×0-2

= so, the answer is = 0-2 = -2