Question

Please help!! College math

Answer 1

`\sf\\\textsf{Solution:}\\\textsf{The standard form of any linear function is given by:}\\\textsf{f(x) = ax + b............(1)}`

`\sf\\\textsf{Now, from the first two values, when f(x) = -3, x = 0}\\\\\textsf{Substituting x = 0 and f(x) = -3 in equation (1),}\\\\-3=a(0)+b\\\textsf{or, }b=-3`

`\sf\\\textsf{From the second column, when f(x) = 1, x = 1}\\\\\textsf{Substituting x = 1 and f(x) = 1 in equation (1),}\\\\\textsf{1 = a(1) + b}\\\textsf{or, }a+b=1`

`\sf\\\textsf{But we have b = -3 already.}\\\therefore\ a-3=1\\\textsf{or, }a=4`

`\sf\\\textsf{Substituting a = 4 and b = -3 in equation (1),}\\f(x)=4x-3\textsf{ is the required linear function.}`