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atroni [7]
3 years ago
6

1-2 Attributes of Functions

Mathematics
1 answer:
natita [175]3 years ago
3 0

Given:

The function is

f(x)=7x+11

To find:

The domain, range, and intercepts of the function.

Solution:

We have,

f(x)=7x+11

It is a linear function, and domain and range of these types of functions  are all real numbers.

Domain:(-\infty,\infty)

Range:(-\infty,\infty)

Put x=0 in f(x), to find the y-intercept.

f(0)=7(0)+11

f(0)=0+11

f(0)=11

So, the y-intercept is 11.

Put f(x)=0 in f(x), to find the x-intercept.

0=7x+11

0-11=7x

-11=7x

Divide both sides by 7.

\dfrac{-11}{7}=x

So, the x-intercept is \dfrac{-11}{7}.

Therefore, Domain:(-\infty,\infty), Range:(-\infty,\infty), x-intercept : (\dfrac{-11}{7},0), y-intercept :11.

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