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sammy [17]
3 years ago
6

Write a linear function f with f(−10)=4 and f(−2)=4. f(x)=

Mathematics
1 answer:
ZanzabumX [31]3 years ago
8 0

Answer:

f(x) = 4

Step-by-step explanation:

Let us assume that the linear function f(x) = ax + b

Here, we have to find the value of a and b to know the function.

Given that f(-10) = 4 and f(-2) = 4

So, -10a + b = 4 ....... (1) and

-2a + b = 4 .......... (2)

From equations (1) and (2) we get a = 0 and b = 4.

So, the linear function is f(x) = 4. (Answer)

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The transformation of a function may involve any change. The correct option is D.

<h3>How does the transformation of a function happen?</h3>

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

  • Left shift by c units, y=f(x+c) (same output, but c units earlier)
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Vertical shift

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Stretching:

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