MA.912.A.3.8 Graphing Linear Equations
ALGEBRA
Functions
What You Need To Know..
Graph a line with given information.
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The benchmark will be assessed using MC (Multiple Choice) items.
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Students will identify graphs given: a table of values; the x- and y-intercepts; two points; the slope and a point; or the equation of the line in slope-intercept form, standard form,or point-slope form.
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Students will identify graphs of linear inequalities given: the equation of the linear inequality in slope-intercept form; or the equation of the linear inequality in standard form.
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Items may include lines with zero slope or undefined slope.
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Graphics should be used in all items.
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Equations should not be presented in function notation
Polynomials
Rationals Discrete
Example One
Andrew plotted a set of points on the coordinate grid shown below. All of the points have integer coefficients.
Which of the following points could be removed so that Andrew's graph represents a function?
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(-4, -3)
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(-2, 1)
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(0, 0)
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(2, -2)
Example Two
The function shown below is used to convert a temperature, x, in degrees Fahrenheit (°F), to a temperature, f(x), in degrees
Celsius (°C).
Micah wanted to convert today's high temperature of 77°F to °C. What is today's high temperature in °C?
Table of Values
Standard / Using Intercepts
Using Slope
Slope-Intercept Form
Point Slope Form
Example Three
For one child, a childcare facility charges $300 per month for preschool and $3.50 per hour for each hour of childcare after preschool. The function below can be used to determine f(h), the monthly fee for childcare and preschool, where h represents the number of hours spent in childcare after preschool.
f(h) = 300 + 3.5h
If the one-month charges for one child totaled $637.75, what was the total number of hours the child spent in childcare after preschool?