Question

The air temperature is −12 °C at sunrise and rises 3 °C every hour for several hours. The air temperature after x hours is represented by the function f(x) = 3x − 12. Find the intercepts

Answer 1

4 and -12

Explanation:

The standard form of writing the linear equation of a line is expressed as;

f(x) = mx + c where;

m is the slope

c is the intercept

Given the function f(x) = 3x − 12

x intercept occurs at f(x) = 0

0 = 3x - 12

3x = 12

x = 12/3

x = 4

Hence the x intercept is 4

y intercept occurs at x = 0

f(x) = 3(0) - 12

f(x) = -12

Hence the y intercept is at -12