Algebra 2 ,2-1 through 2-4 quiz

What is a function?

A relation in which each element of the domain (x) is paired with exactly element of the range. *x cannot repeat *y can reapeat

What are the rules for standard form? What is the formula for standard form?

Ax+By=C All whole numbers "A" has to be positive

Write an equation in slope intercept form for the line that satisfies each set of conditions Slope -5, passes through (-3,-8)

y+8=-5(x-3) y+8=-5x-15 y=-5x-23

What is the range?

The y co-ordinate

Rate of change

Is the slope basically

Is this a linear function? Y= 5/x

No, a variable cannot be in the denominator.

Find the x and y and graph them 2x-6y=18

2x=18. 6y=18 X=9. Y=3 (9,0). (0,3)

X | Y -6 | -1 -3 | -7 -1 | 7 -5 |-9 6 |-9 What is the Domain? What is the Range? Is it a Function? Write as ordered pairs.

Domain= {-6,-5,-3,-1, 6} Range= {-9,-7,-1, 7} It is a function {(-6,-1) (-3,-7) (-1,7) (-5,-9) (6,-9)}

Is this a linear function? 9-5xy=2

No it is not, you cannot multiply 2 or more variables together.

2y=10x -30

Solve it down into slope intercept form Y=-8x+41/2 R-O-C equals -8

What must a linear equation be in.

Standard form or slope intercept form.

What is domain?

The x co-ordinate

Zero in the denominator

Undefined

Write the equation in standard form. Identify A, B, and C. Y= 7x-5

Y= 7x-5 -7x -7x -7x+y =-5 -1•(-7x+y =-5) 7x-y =5 A= 7 B= -1 C= 5

What is slope intercept form

Y=mx+b

Is this a linear function? Y=2/3 x

Yes it is in y=mx+b form.

Find g(-6) if g(x)=-2x+3

g(-6)=-2(-6)+3 g(-6)= 12+3 g(-6)= 15

What is point slope form

Y-y1=m(X-x1)

Solve f(3) given f(x) = 5/(x)+2

f(3)= 5/(3)+2 f(3)= 5/5 f(3)= 1

Find f(6) given f(x)=2x^2-8

f(6)=2(6)^2-8 f(6)=2(36)-8 f(6)=72-8 f(6)=64

(0,0) and (-5,-1)

Slope is 1/5

What can't a linear equation have

A linear equation can't have: -positive or negative variables -square roots -2 or more variables multiplied -variable in the denominator - the division sign