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Chapter 9: Q46. (page 596)

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

y=3x+1

Short Answer

Expert verified

The graph of the function is:

y-intercept is (0,2) and domain is all real number and range is y>1.

Step by step solution

01

Step 1. Graph the equation.

Graph of the function: y=3x+1

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 xinto the equation.

y=3x+1

role="math" localid="1647773697046" y=3x+1=30+1鈥夆赌夆赌夆赌夆赌夆赌�[鈥夆赌�x=0鈥夆赌�]=1鈥�+1=2

Thus, y鈥搃ntercept is y=2.

03

Step 3. Find the range and domain.

The domain of a functionf(x) 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>1.

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