SOLUTION: Find the domain and range of the function. (Enter your answers using interval notation.) f(x) = 2x, −5 ≤ x ≤ 7

Question 1206068: Find the domain and range of the function. (Enter your answers using interval notation.)
f(x) = 2x, −5 ≤ x ≤ 7
Answer by ikleyn(52803) (Show Source): You can put this solution on YOUR website!
.


The domain is this GIVEN interval  -5 <= x <= 7  from -5 to 7, inclusive.


In the interval form, it is the set [-5,7].


The function f(x) = 2x is a linear function, monotonically increasing.


Therefore, its range is the interval between f(-5) = 2*(-5) = -10 and f(7) = 2*7 = 14.


ANSWER.  The domain is the interval [-5,7].  The range is the interval [-10,14].

Solved, with explanations.

Is it clear to you, from the first word to the last one ?

RELATED QUESTIONS
Find the domain and range of the function. (Enter your answers using interval notation.) (answered by stanbon)

f(x)=2x^2-4x-1 find the domain and range ( enter answers using interval... (answered by Fombitz)

Find the domain and range of each function. (Enter your answers using interval notation.) (answered by lwsshak3)

Find the domain and the range of the function. (Enter your answers using interval... (answered by stanbon)

Find the domain and range of the function. (Enter your answers using interval notation.) (answered by solver91311)

Use a graphing utility to graph the function and estimate its domain and range. Then find (answered by Fombitz)

Find the domain of the function. (Enter your answer using interval notation.) f(x) =... (answered by davidb52)

Let y = f(x) be a function with domain D = [−6, −2] and range R = [−10, −4].... (answered by Edwin McCravy)

Find the domain of the function. (Enter your answer using interval notation.) f(x) =... (answered by lwsshak3)