Graph each function. ƒ(x) = 2∛(x+1)-2

Question

Accepted Answer

Graph. The following equation F of X equals five multiplied by the third group of X minus eight plus five. Now, to solve this, we need to find the inflection point because this is a cub equation. The general form of the Krit equation is a multiplied by the root X minus H plus K where our inflection point, a curse at the point. It's K, we notice our H is eight R K is five. So our inflection point is 85. Let's also find our zeros. Our zeros are given when X is equal to zero and Y is equals to zero. Let's let X equal zero first and plug this into our equation F 00 equals to five multiplied by the cube group zero minus eight plus fat giving us five multiplied by the cube group negative eight plus five, which we can simplify. It's five multiplied by negative two plus five, which is just negative five. Our point then is zero, negative five. Let's also find our Y equals zero will say zero equals to five multiplied by the third group X minus eight plus five. Move our five over to get an A to five equals five, multiplied by the third group, X minus eight. Divide both sides by five to get negative one equals a third group of X minus eight. Then we raise both sides to the third power to get rid of the third group. Give me us negative one equals to X minus eight. Finally moving the eight over to get X equals seven, our point then occurs at 70. So when you have a graph that has the points, 09585 and 70, if you look at our possible graphs, we can determine this graph is graph B OK. I hope to help you solve the problem. Thank you for watching. Goodbye.

Graph each function. ƒ(x) = 2∛(x+1)-2

Key Concepts

Graphing Functions

Cube Root Function

Transformations of Functions

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