Find the integer a such that a. a ≡ 43 (mod 23) and −22 ≤ a ≤ 0.

If y varies directly as x2 and y=6 when x=6, find the constant of variation.

The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −5 0 −1 1 3 g(x) g(x) = 2x − 7 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). (6 points) part b: which function has a greater y-intercept? justify your answer. (4 points)

If f(x) and g(x) are inverse functions of each other, which of the following shows the graph of f(g(x)