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Mrac [35]
3 years ago
12

Write a linear function f with the values f (0) =4 and f(3)=-8

Mathematics
1 answer:
Darya [45]3 years ago
8 0

Answer:

Answer:

f(x) = - 4x + 4

Step-by-step explanation:

Step-by-step explanation:

A linear function has the form

f(x) = ax + b, thus

f(0) = a(0) + b = 4, that is

0 + b = 4 , hence b = 4

f(3) = 3a + b = - 8 ← substitute b = 4

3a + 4 = - 8 ( subtract 4 from both sides )

3a = - 12 ( divide both sides by 3 )

a = - 4, thus

f(x) = - 4x + 4

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\underline{ \boxed{{\huge \frak{ \gray{Answer : }}}}}

\: \: \: \:

\: \: \: \:

\large\sf\begin{gathered} \begin{bmatrix} {2 } \: \:  \:  \:  \: 3 \: \\1 \:  \:  \:  \: 4\\ \end{bmatrix}\end{gathered}  \:  \:  \large = 2 \times 4 + 3 \times 1 \\  \large   = 8 + 3 \\ \underline{ \boxed{  \large\bf\red{= 11}}} ✓

\: \: \: \:

\: \: \: \:

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