The domain of t(x) = -3.8x - 4.2 is (-3, -1.4, 0, 8). What is the range? A. t ∈ R B. t ≥ -15.2 C. -15.2 ≤ t ≤ 8 D. t ∈ R

Question

The domain of t(x) = -3.8x - 4.2 is (-3, -1.4, 0, 8). What is the range?

A. t ∈ R
B. t ∈ R
C. -15.2 ≤ t ≤ 8
D. t ∈ R

Answer 1

The range of t(x) is {1.12, -4.2, -34.6, 7.2}. None of the given options is answer.

Step-by-step explanation:

To find the range of the function t(x) = -3.8x - 4.2, we need to evaluate the function for each value in the domain and determine the set of all possible output values.

The domain of the function is given as {-3, -1.4, 0, 8}. Evaluating the function for each of these domain values, we get:

t(-3) = -3.8(-3) - 4.2 = 7.2

t(-1.4) = -3.8(-1.4) - 4.2 = 1.12

t(0) = -3.8(0) - 4.2 = -4.2

t(8) = -3.8(8) - 4.2 = -34.6

Therefore, the range of the function t(x) is {1.12, -4.2, -34.6, 7.2}.

None of the given options is answer.