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3 years ago

Can anybody help me with the explanation

Mathematics

1 answer:

Delvig [45]3 years ago

3 0

Answer:

see explanation

Step-by-step explanation:

$f(3)$ means the y-coordinate of the point $(3, y)$ that lies on $f(x)$ .

Aha! Now we have a path to the solution!

We can test random values for $y$ , such as $(3, 1)$ , $(3, 2)$ , or even $(3, 1000)$ .

This leads us to drawing lines.

Answer: We draw the line $x=3$ (equivalent of testing out random points), and where it intersects the graph of $f(x)$ ! is our answer!

(Note: it can only intersect once, otherwise it would fail the vertical line test and wouldn't be a function)

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Step-by-step explanation:

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3 years ago

Determine the domain and range of the function f(x)= 3x+2. Also, state the intervals where the function f(x)= 3x+ 2 is increasin

aev [14]

Answer:

Increasing on it's domain $(-\infty,\infty)$ because the slope is positive.

The domain and range are both all real numbers, also known as

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Step-by-step explanation:

All domain really means is what numbers can you plug in and you get number back from your function.

I should be able to plug in any number into 3x+2 and result in a number. There are no restrictions for x on 3x+2.

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In interval notation that is $(-\infty,\infty)$ .

Now the range is the set of numbers that get hit by y=3x+2.

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If slope is negative, then the line is decreasing.

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3 years ago