Question

A verbal description of a linear function f is given. Express the function f in the form f(x) = ax + b.

Answer 1

The linear function f has rate of change 5 and initial value - 2 is given by:

f(x) = ax + b,

The standard form of a linear equation is given by:

y = mx + b

Where y is a dependent variable, x is an independent variable, m is the slope of the line (the rate of change), b is the y intercept (that is the initial value of y).

Given a function in the form f(x) = ax + b, This is a linear function.

The linear function f has rate of change 5 and initial value - 2. Hence the equation can be represented as:

f(x) = 5x - 2.

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