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1. 2 3. 4. Bellwork
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4.5 Graphing Linear Equations 4.6 Functions
Algebra 1
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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 4.5 Graphing Linear Equations
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X – intercept Y – intercept INTERCEPTS
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. INTERCEPTS
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1. 5x + 3y = z x = y + 8 4 Determine whether each equation is a linear equation. If so write the equation in Standard Form.
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3. 3x - 6y = x = -7 4 Determine whether each equation is a linear equation. If so write the equation in Standard Form.
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X Y 5. Graph using a T-Table
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6. Find the x and y intercepts
X intercept ( ,0) Y intercept (0, ) 6. Find the x and y intercepts
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Function Vertical Line Test 4.6 Functions
\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 4.6 Functions
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Function Notation - f(x)
f(x) = y Y can be replaced with f(x) to denote a function.
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Determine whether each relation is a function (yes or no).
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Evaluate If f(x) = 3x -4, find each value. 5. f(4) 6. f(- 5)
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Evaluate! If k(m) = m2 - 4m + 5, find each value. 8. k(- 3) 9. k(6x)
[k(y)] Evaluate!
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4.5 Study Guide and Intervention
1. 2. 3. 4.5 Study Guide and Intervention
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4.6 Study Guide and Intervention
1. 2. 3. 7. 8. 9. 4.6 Study Guide and Intervention
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1. 2. 3. 13. 14. 15.
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