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Unit 4 - Writing and Graphing Linear Equations

Last updated over 3 years ago
22 questions
Link to graphing calculator here. Show your work boxes are optional!
1

Graph the function with the given domain.
Domain {x:-2<x<2}

1

What is the range of the function with the given domain?
Domain {-2<x<2}

1

Graph the function with the given domain
Domain {x:x > -3}

1

What is the range of the function with the given domain?
Domain {x:x > -3}

1

Graph the function with the given domain
Domain {-2, -1, 0, 1, 2}

1

What is the range of the function with the given domain?
Domain {-2, -1, 0, 1, 2}

1

Find the slope of the line that passes through the points.

(-3, -1 and (-3, 4)

1

Find the slope of the line that passes through the points.

(-7, 5) and (15, 7)

1

Write the equation of the line passing through the given point with the given slope. (Hint - use point-slope form!)
(7, 5) and -3/4

1

Find the x-intercept of the equation:

1

Find the y-intercept of the equation:

1

Write an equation of the line that passes throught he given points.

(-4, 7) and (9, 7)

1

Write an equation that gives the number of metric tons imported as a function of the number of years since 1990 (x = years since 1990, y = metric tons)
Hint: 2002 is when x = 12.

1

Find the year in which the number of metric tons reached 8000.

1

Write an equation of the line that passes through the given points that is parallel to the given line.
(-4, -8), 6x+3y=7
Write your answer in standard form.

1

Write an equation of the line that passes through the given points that is perpendicular to the given line.
(-4, -8), 6x+3y=7
Write your answer in standard form.

Use this data to answer the following problems:
1

Make a scatterplot of the data:

1

Describe the correlation in your graph.

1

Use the graphing calculator to find the curve of best fit for the data. Round to the hundredths place.

1

Predict the gas mileage for a car that weighs 3,400 pounds. (3.4 thousand pounds)

1

Find the zero of the function.

1

What does that mean in this situation?