Analyzing the Intervals of a Function A 2-column table with 7 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2, 3. The second column is labeled f of x with entries 15, 0, 3, 0, negative 3, 0, 15. Predict which statements are true about the intervals of the continuous function. Check all that apply. f(x) > 0 over the interval (−∞, 3). f(x) ≤ 0 over the interval [0, 2]. f(x) 0 over the interval (–2, 0). f(x) ≥ 0 over the interval [2, ∞).

step-by-step explan mxfcg'k; uafwgzfgjhklhgation:

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.

combine all like terms then its just a 2 step equation