Question

Tabular representations for the functions f, g, and h are given below. Write g(x) and h(x) as transformations of f(x).

Answer 1

9514 1404 393

Answer:

g(x) = f(x -1)

h(x) = f(x) +4

Explanation:

g(x)

We notice that the output values correspond to the output values of f(x), but the input to f(x) is 1 less than the corresponding input to g(x). For some given value of x, ...

g(x) = f(x -1)

__

h(x)

The input values correspond to those for f(x), but the output values are all 4 more than for f(x).

h(x) = f(x) +4