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Determine whether each equation is linear or not. Then graph the equation by finding and plotting ordered pair solutions. See Examples 3 through 7.$$\begin{aligned}&y=x^{3}-2\\&\text { (Hint. Let }x=-3,-2,-1,0,1,2 .)\end{aligned}$$

$x-3 \quad-2 \quad-1 \quad 0 \quad 1 \quad 2 \quad 3$$\begin{array}{lllllll}y & -2 9 & -10 & -3 & -2 & -1 & 6 & 25\end{array}$

Algebra

Chapter 3

Graphs and Functions

Section 1

Graphing Equations

Functions

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01:43

In mathematics, a function…

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Determine whether each equ…

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in this problem, I'm given the equation. Why equals X cubed minus two? Where I need to determine if that equation is linear or not. Linear linear equations are written in the form y equals, um, eggs plus B And these air similar looking equations. Except I noticed that my eggs as an exponents of three in a linear equation, my ex is actually just gonna have an exponent of one or not in exponents listed. So I can see really quick that this is not leader. So now we're gonna create some points to prove, in fact, that this line is not linear. We're gonna use the points negative too native, one 01 and two. So for the 1st 1 we're gonna have why equals negative to cubed minus two. Negative. Too cute is negative. Eight and negative. Eight minus two is negative. Tm Why equals native one cubed minus two. Negative one. Cute is negative. One and negative one minus two is negative. Three. Why equals zero cubed minus two zero. Cubed is still zero and zero. Omanis to is negative. Two. Why equals one cubed minus two. One cube is one and one minus two is negative one. And finally we have. Why equals two cubed modest too to Cuba is eight and eight. Minus two is six so less graft These points on our graph. So we'll start where X is negative. Two. Why is negative? T and that X is negative one. Why is negative three x zero wise Negative too. X is one. Why is negative one and exists to why is positive? Six. So I can see is from my bottom point. And so start going up to my next point. I'm going in one direction and then it shifts to a new direction instead of going straight, almost straight up. It kind of starts turning more towards the right and then it starts again, going back almost not completely, but almost straight up. So I can see that my points or not creating a straight month. So this is indeed not

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