The function f has domain −5 x 7 and is linear from (−5, 6) to (−3, −2) and from (−3, −2) to (7, 18). The diagram shows a sketch of the function.

a. Write down the range of f.

b. Find ff(−3).

c. Sketch the graph of y = |f(x)|, marking the points at which the graph meets or cuts the axes.  The function g is defined by g: x ↦ x² − 7x + 20.

d. Solve the equation fg(x) = 3.

Transcribed Image Text:

(-5, 6) (-3,-2) y O (7, 18) y = f(x) X