Step-by-step explanation:
step 1. the x intercepts (called zeros) are where y = 0 or where the graph is on the x axis
step 2. the zeros are -3, 0, 2, 5.
step 3. therefore there are 5 intervals
step 4. ( ,-3) - f(x) = "-"
step 5. (-3, 0) - f(x) = "+"
step 6. (0, 2) - f(x) = "+"
step 7. (2, 5) - f(x) = "-"
step 8. (5, ) - f(x) = "+".