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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