Question

The range of the function given below is the set of all positive real numbers greater than 7. F(x) = 7 + 3x A. True B. False

Answer 1

True. 3x is always greater than 0 so 7 +3x is always greater than 7.

Answer 2

Option A. True

Explanation:

Range of the function
`f(x)=7+3^(x)` is defined by the values of F(x) by plugging in the values of x in the function.

In other words when we graph the function as

x 1 2 3 4

F(x) 10 16 30 88

Then the x values define the domain of the given function and values of f(x) define the range.

Therefore, range of the given function will be all positive real numbers greater than 7.

Option A. is the answer.