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Chapter 9: Q20. (page 597)

Graph each function. Find the y-intercept, and state the domain and range.

y=鈭�311x

Short Answer

Expert verified

The graph of the function is:

y-intercept is0,鈭�3and domain is all real number and range isy<0.

Step by step solution

01

Step 1. Graph the equation.

Graph of the function:y=鈭�311x

02

Step 2. Find the y-intercept. 

The y-intercept of a graph is the point where the graph intersects the y-axis that is., x-coordinate of a y-intercept is 0. So, to find y-intercept substitute 0 for x into the equation y=鈭�311x.

y=鈭�311x=鈭�3110鈥夆赌夆赌夆赌夆赌夆赌�[鈥夆赌�x=0鈥夆赌�]=鈭�3

Thus, y-intercept is y=鈭�3.

03

Step 3. Find the range and domain.

The domain of a functionfx is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes.

From the graph, it can be concluded that domain is all real number and range is y<0.

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Most popular questions from this chapter

CHALLENGE Using the axis of symmetry and one x-intercept, write an equation for the graph shown.

Find the final value$2500invested at an interest rate2%compounded monthly 10 year.

Solve each equation by graphing. If integral roots cannot be found, estimate the roots to the nearest tenth.

鈭�x2+3x鈭�1=0

GEOMETRY The area of the circle is36蟺 square units. If the radius is doubled, what is the area of the new circle?

F72蟺units2G144蟺units2H1296蟺units2J9蟺units2

Use a table of values to graph each equation.

y=x+3
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