Linear Functions

Find X and Y intercept

100

3x + 9y = 9

x-intercept: (3,0) y-intercept: (0,1)

200

4x = -6y - 12

x-intercept: (-3,0) y-intercept: (0,-2)

300

y = 2x - 4

x-intercept: (2,0) y-intercept: (0,-4)

400

Table: x: -2, 0, 1, 2, 3 y: 10, 6, 4, 2, 0

x-intercept:(3,0) y-intercept:(0,6)

500

f(x) = (1/2)(x - 6)

x-intercept:(6,0) y-intercept:(0,-3)

Find the Slope

100

(8,3) and (2,5)

(1/-3)

200

(-5,8) and (-5,2)

undefined

300

(5,-2) and (8,-2)

O

400

Time (seconds) 3 21 30 42 Number of letters texted 2 14 20 28

m = (2/3)

500

x: -5, -1, 4, 11, 13 y: 4, 0.8, -3.2, -8.8, -10.4

m = (-4/5)

Solve for Y

100

2x + 6 = -y

y = -2x - 6

200

-2x + y = 6

y = 2x + 6

300

4x - 2y = 3

y = 2x -(3/2)

400

5x - 20 = 10y

y = (1/2)x - 2

500

5x + 6y = 4

y = -(5/6)x + (2/3)

Solutions to Linear Equations

100

2y = x + 3 a. (1,-2) b. (-1,-1) c. (-2,-(5/2)) d. (0,-2)

b and c

200

5x = 2 - y a. (3,12) b. (-3,-17) c. (2,-8) d. (-1,7)

c and d

300

Find range if domain is {-2, -1, 0, 2, 5} y = 3x + 2

{-4, -1, 2, 8, 17}

400

Find the range if domain is {-2, -1, 0, 2, 5} 2y = 8 - 4x

{8, 6, 4, 0, -6}

500

Find the domain if range is {-2, -1, 0, 2, 3} y = 3x

{-(2/3), -(1/3), 0, (2/3), 1}

Evaluating Functions

100

f(x) = 3x + 7 f(-2) = f(0) = 4[f(1)] =

16, 1, 7, 40

200

h(x) = 2x - 10 h(3) = h(-2) = 2[h(1)] =

-4, -14, -16

300

f(x) = x^2 - 5 if the domain is {2, 5, 8}

{-1, 20, 59}

400

f(x) = 3x^2 + 4x - 6 at f()

f() = 3()^2 + 4() - 6

500

If output is 58 what is input of the equation y = -5 + (x - 1)(3)

x = 22