Question

The table below represents a linear function f(x) and the equation represents a function g(x):

x f(x)
−1 −11
0 −1
1 9
g(x)

g(x) = 5x + 1



Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x

Answer 1

the slope of f is 10 because as x increases by 1, f(x) increases by 10.The slope of g is lesser at 5, because every time x increases it only increases by 5. By plugging in 1 and 2 to g(x), we can see that g(2)=11, which is 5 more than g(1)=6.