bellwork 1. 2 3. 4.. 4.5 graphing linear equations 4.6 functions algebra 1
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Bellwork
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4.5 Graphing Linear Equations4.6 Functions
Algebra 1
4.5 Graphing Linear Equations
Vocabulary
Linear Equation◦Equation of a line◦Cannot have exponents◦Cannot have more than two variables
Standard Form Ax + By = C A, B, and C are integers A can be neither a fraction or negative X and Y can only be 0 one at a time
INTERCEPTS
X – intercept ◦ the point at which a linear equation crosses the x-axis
◦To find the x-intercept, let Y be ZERO and solve for x
Y – intercept◦ the point at which a linear equation crosses the y-axis
◦To find the y-intercept, let X be ZERO and solve for y.
Determine whether each equation is a linear equation. If so write the equation in Standard Form.
1. 5x + 3y = z + 2 2. 3x = y + 8 4
Determine whether each equation is a linear equation. If so write the equation in Standard Form.
3. 3x - 6y = 27 4. 1x = -74
5. Graph using a T-Table
X Y
6. Find the x and y intercepts
X intercept( ,0)
Y intercept(0, )
4.6 Functions
Function ◦\a relation in which each number of the domain
is paired with exactly ONE number of the range ◦The DOMAIN CANNOT REPEAT!!!!!◦input and output
Vertical Line Test ◦If you draw vertical lines on the graph, and it
touches the linear equation graphed more than ONCE, then the graph is NOT a function
Function Notation - f(x)
f(x) = y
Y can be replaced with f(x) to denote a function.
Determine whether each relation is a function (yes or no).
Evaluate
If f(x) = 3x -4, find each value.
5. f(4) 6. f(- 5)
7. f(2 - x)
Evaluate!
If k(m) = m2 - 4m + 5, find each value.
8. k(- 3) 9. k(6x)
10. - 4[k(y)]
4.5 Study Guide and Intervention
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4.6 Study Guide and Intervention
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