What is the range of each function given below let g(x)=3^2x?

1 answer:

4 0

Until now, given a function f(x), you would plug a number or another variable in for x. You could even get fancy and plug in an entire expression for x. For example, given f(x) = 2x + 3, you could find f(y2 – 1) by plugging y2 – 1 in for x to get f(y2 – 1) = 2(y2 – 1) + 3 = 2y2 – 2 + 3 = 2y2 + 1.

In function composition, you're plugging entire functions in for the x. In other words, you're always getting "fancy". But let's start simple. Instead of dealing with functions as formulas, let's deal with functions as sets of (x, y) points

Hope this awnsers your question

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3 years ago

CAN SOMEONE PLS TELL ME DOMAIN AND RANGE

lorasvet [3.4K]

Answers:

Domain is (-4, 3]
Range is (-5, 5]

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Explanation:

The domain is the set of allowed x input values, aka the set of all allowed x coordinates of the points. We see that $-4 < x \le 3$ . It might help to draw vertical lines through the endpoints until you reach the x axis. Note the open hole at x = -4 to indicate we do not include this as part of the domain (hence the lack of "or equal to" for the first inequality sign).

The interval $-4 < x \le 3$ then can be condensed into the shorthand form (-4, 3] which is the domain in interval notation.

It says: x is between -4 and 3. It can't equal -4 but it can equal 3.

So the use of parenthesis versus square brackets tells the reader which endpoint is included or not.

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The range describes all possible y outputs. We see that y = 5 is the largest it gets and y = -5 is the lower bound. It might help to draw horizontal lines through the endpoints until you reach the y axis. The open hole means -5 is not part of the range.

The range as a compound inequality is $-5 < y \le 5$ . This condenses into the shorthand of (-5, 5] which is the range in interval notation.