Consider the three functions: f(x) = (4)x g(x) = (4)–x h(x) = –(4)x which statements are true about the domain and range of f(x), g(x), and h(x)? check all that apply. 1. f(x) has a domain of all real numbers. 2. g(x) has a range of y < 0. 3. h(x) has a range of y > 0. 4. g(x) has a domain of all real numbers. 5. h(x) has a domain of x > 0.

f(x) has a domain of all real numbers.

g(x) has a domain of all real numbers.

Step-by-step explanation:

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true