CASE A: Discrete Domain, Limited Number of Points

f(x) = 3x ² + 6x -2. Domain: x E { -2, -1, 0, 1, 2}

1.Compute f(x) for each of the values in the domain.

f(-2) = 3(-2)² +6(-2) - 2 = -2
f(-1) = 3(-1)² +6(-1) - 2 = -5
f(0) = 3(0)² +6(0) - 2 = -2
f(1) = 3(1)² +6(1) - 2 = 7
f(2) = 3(-2)² +6(2) - 2 = 22

2. Mark down all the values that you obtained in the computations.
The value y = -2 should be included only once.

3. Write the range in the format: y E {-2, -5, 7, 22}

CASE B: Continuous Domain, Infinitely Many Points-Interval

f(x) = x ² - 3x +2. Domain: x E (0,4]

1. Graph the function by hand or use Desmos.com.

2. Read the range from the graph, starting from the lowest
y value occuring when x = 1.5 and moving up
until the highest y value occuring when x = 4.

3.Write the range in the format: y E (-0.25, 6]

CONCEPT CHECK: When f(x) = x³ +2x² -3x + 1, f(-1) is: