In Exercises 47–52, graph functions f and g in the same rectangul...

Question

In Exercises 47–52, graph functions f and g in the same rectangular coordinate system. Graph and give equations of all asymptotes. If applicable, use a graphing utility to confirm your hand-drawn graphs. f(x) = (½)^x and g(x) = (1/2)^(x-1) + 1

Accepted Answer

Use the same rectangular coordinate system to show the graphs of functions F and G for every scent to graphic and provide the equations F of X equals 1/5 to the X and G of X equals 1/5 to the X minus three plus 26. Let's first find the ascent totes. We have 1/5 race to the X. Now the base function is some value a race to the X. This is a function that hugs the line Y equals zero as it continues through its function that makes the as to Y equals zero. For G FX, we have 1/5 X minus three plus 26. We have two transformations on this moving right by three units and up 26 units because the F of X Asymptote was Y equals zero. And we're transforming this by moving it up 26. Our new Asymptote here is Y equals positive 26. So we need two graphs. One that has an ascent to Y zero, Y equals 26. For the other one A G FX is transformed from FX by right three and up 26. If we look at our possible answers we determine the answer to our problem. His answer a ok. I hope to help you solve the problem. Thank you for watching. Goodbye.

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In Exercises 47–52, graph functions f and g in the same rectangular coordinate system. Graph and give equations of all asymptotes. If applicable, use a graphing utility to confirm your hand-drawn graphs. f(x) = (½)^x and g(x) = (1/2)^(x-1) + 1