Question

What is the range of the function f(x) = {3/4}^x - 4 for the given intervals?

a. {y l y > -4}

b. {y l y > 3/4}

c. {y l y < -4}

d. {y l y < 3/4}

Answer 1

The range of the function f(x) = (3/4)^x - 4 for different intervals.

Step-by-step explanation:

The range of a function is the set of all possible output values. To find the range of the function f(x) = (3/4)^x - 4 for the given intervals:

a. {y l y > -4}: The function f(x) is always greater than -4, so the range is y > -4.

b. {y l y > 3/4}: The function f(x) is always greater than 3/4, so the range is y > 3/4.

c. {y l y < -4}: The function f(x) can never be less than -4, so the range is empty.

d. {y l y < 3/4}: The function f(x) can never be less than 3/4, so the range is empty.