Algebra II: PACE 1126 self test

Give the domain and range of the given solutions.

{(3,9); (4,-7)}

D= (3,4)

R=(9,-7)

Give the domain and range of the given solutions.

y=3x

D= {real numbers}

R= {real numbers}

Give the domain and range of the given solutions.

y=|x|

D= {real numbers}

R= {nonnegative real numbers}

Give the domain and range of the given solutions.

x=y

D= {real numbers}

R= {real numbers}

Determine whether the following relations are functions.

X={(-1,4); (4,-1)}

function

Determine whether the following relations are functions.

Y= {(0,9); (-4,9); (2,9)}

function

Inverse the given function; then determine whether the result is a function.

A= {(1,9); (-3,2); (5,9)}

{(9,1); (2,-3); (9,5)}

nonfunction

Inverse the given function; then determine whether the result is a function.

G= {(6,7); (7,6); (3,2)}

{(7,6); (6,7); (2,3)}

function

Find the slope.

y=-3x+4

-3

Find the slope.

2x-3y-7=0

2/3

Find the slope.

x=9-y

-1

Find the slope.

-2x=y

-2

Find the slope.

y=2-4x

-4

3x+4y=9

-¾

Find the relation of the equation by using the point-slope or slope intercept equation.

M=2/3

(0,-3)

y=2/3x-3

Find the relation of the equation by using the point-slope or slope intercept equation.

M=-4/3

(2,-4/3)

y=-4/3x+4/3

Write minimum or maximum point for each function, and give the coordinates for that point.

y=x²-6x-8

(3,-17) minimum

Write minimum or maximum point for each function, and give the coordinates for that point.

y=3x²-6x+9

(1,6) minimum

Write minimum or maximum point for each function, and give the coordinates for that point.

y=-2x²

(0,0) maximum

Write minimum or maximum point for each function, and give the coordinates for that point.

y=-x²+2x+6

(1,7) maximum

Write minimum or maximum point for each function, and give the coordinates for that point.

y=2x²-12x+14

(3,-4) minimum

Complete the square, place the final answer in the form:

y=a(x-h)²+k

y=x²-8x+18

y=(x-4)²+2

Complete the square, place the final answer in the form:

y=a(x-h)²+k

y=2x²-12x+23

y=2(x-3)²+5

Complete the square, place the final answer in the form:

y=a(x-h)²+k

y=3x²-6x+2

y=3(x-1)²-1

Find the axis of symmetry and the vertex from each parabolic function.

y=2x²+12x+15

A=-3

V=(-3,-3)

Find the axis of symmetry and the vertex from each parabolic function.

y=x²-5x+3

A=2½

V= (2½, -3¼)