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The diagram shows the graph of π¦ = π(π₯). What is the solution set of the equation π(π₯) = 0?

The diagram shows the graph of π¦ equals π of π₯. What is the solution set of the equation π of π₯ equals zero?

Remember, given the graph of a quadratic equation π of π₯ equals ππ₯ squared plus ππ₯ plus π, the solutions to the quadratic equation π of π₯ equals zero correspond to the values of the π₯-intercepts. So all we need to do is identify the location of the π₯-intercepts on our graph. Locating these, we see that there is, in fact, only one π₯-intercept. Itβs negative two. So thereβs actually only one solution to the equation π of π₯ equals zero. Thatβs π₯ equals negative two. Now we have in fact been asked to give the solution set to the equation π of π₯ equals zero. So in set notation, itβs the set containing the single element negative two.

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