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Chapter 3: Q 369. (page 344)

a) Graph each function. b) State its domain and range. Write the domain and range in interval notation.

f(x)=2x

Short Answer

Expert verified

Domain of the function is [0,∞)and range of the function is[0,∞).

Step by step solution

01

Step 1. Given Information

Given that the equation isf(x)=2x

02

Step 2. Formation of ordered pairs

The table can be created by different x-values. It's not a linear function. It can form ordered pairs by plot and connect to form a graph.

x
y=f(x)
(x,y)
0
y=20→y=0
(0,0)
4
y=24→y=4
(4,4)
9
y=29→y=6
(9,6)
1
y=21→y=2
(1,2)
03

Step 3. Graph of the function

The graph can be drawn as,

04

Step 4. Domain and Range

Given function is a square root function, the domain of the square root function is the value set at the argument is non-zero. Domain of the function is [0,∞). Given function is a square root function whose graph has y-positive values, the range is all real numbers which is equal to or greater than zero. The range of the function is [0,∞).

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Most popular questions from this chapter

In the following exercise, determine the most convenient method to graph each line

2x-5y=-10

Use graph of y=3x-1. For each ordered pair, decide :

(a) Is the ordered pair A(0,-1),B(2,5)a solution to the equation.

(b) Is the point A(0,-1),B(2,5)on the line?

Graph the equationy=-32x+2by plotting the points.

In the following exercise, use the graph of the function to find its domain and range. Write the domain and range in interval notation.

Find the equation of the line shown in each graph and write the equation in slope-intercept form.
See all solutions

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