Sam J.

asked • 09/11/20# Graph the function

K(x)= 4^x - 2 / l(x)= - ^3 square root x+1

{ GRAPH THE FUNCTIONS BELOW AND LABEL ANY ASYMPTOTES OR CRITICAL POINTS } Please help and explain/ provide a graph

## 1 Expert Answer

Liz Z. answered • 09/14/20

Trig is cool!

I think you're looking to graph 4^{x}-2. This graph y=4^{x }has a critical point at (0,1), as do all graphs of the form y = n^{x}, where n is any real number. It has an asymptote at y=0, which is the x-axis, on the left side of the graph. Try making a table for some negative and positive values around zero if you don't understand why. (Raising 4 to the -1 power = 1/4, and 4^{-2}= 1/16. The negative exponent "flips" the answer.) After penciling in this graph, the -2 part lowers all your function (y) values by two. So the asymptote is now at y=-2, and the point that was at (0,1) is now at (0,-1). Also, if x=1, you would have 4^{1}=4, but adding the "-2" to the equation means that 4^{1}-2 = 4 - 2=2. So you'll also have a point at (1,2). If you need a good graph, try desmos.com.

I hope that helps, and let me know if you have any questions?

LizZ.

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Brenda D.

09/13/20