Question

Write a linear function with the values f(0) = - 5 and f(3) = 4

Answer 1

Answer

$f(x) = 3x - 5$

Explain

.

$f(0) = - 5$

$f(3) = 4$

.

Find b

$3b - 0b = 4 - ( - 5)$

$3b = 9$

$b = \frac{9}{3}$

$b = 3$

.

Find f(1)

$f(1) = f(0) + b$

$f(1) = - 5 + 3$

$f(1) = - 2$

.

Find Function

.

$f(x) = f(1) + (x - 1)b$

$f(x) = - 2 + (x - 1)3$

$f(x) = - 2 + 3x - 3$

$f(x) = 3x - 3 - 2$

$f(x) = 3x - 5$

$\rm{}fumction \to \boxed{f(x) = 3x - 5}$

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