Answer:
(A) the range includes all real numbers
Step-by-step explanation:
Taking into account the function f(x) = | 3x + 2 |, we can say that:
This function includes the point (-3, 7) because when we replace x by -3, we get f(x) = 7, so:
f(x) = |3x + 2|
f(-3) = | 3(-3) + 2 |
f(-3) = | -9 + 2|
f(-3) = | -7 |
f(-3) = -7
On the other hand, the domain includes all real numbers because the domain is the set of values that the variable x can take. Since there are no restrictions for x, x can be any real number,
Finally, the graphs of functions with absolute value are v-shaped, so the graph of f(x) = | 3x + 2 | is v-shaped.
Therefore, the only statement that is false is A. The range includes all real numbers because f(x) can only take positive values.