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Chapter 9: Q47. (page 595)

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

y=4x+2

Short Answer

Expert verified

The graph of the function is:

y-intercept is (0,3)and domain is all real number and range is y>3.

Step by step solution

01

Step 1. Graph the equation.

Graph of the function:y=4x+2

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=4x+2

y=4x+2=40+2鈥夆赌夆赌夆赌夆赌夆赌�[鈥夆赌�x=0鈥夆赌�]=1鈥�+2=3

Thus, y鈥搃ntercept is y=3.

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 ftakes.

From the graph, it can be concluded that domain is all real number and range isy>3.

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