Standardized Test Practice
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Use the base to determine points on the graph. Then plot those points and connect them with a smooth curve.
H
To draw the graph of a logarithmic function, we can follow a three-step process.
Let's do it!
Looking at the given function, we can see that the base is b= 5. f(x)=log_5 x
Using the base, we can identify three points on the graph of a logarithmic function. (1,0), ( b,1), and ( 1 b, - 1 ) Since we know that b= 5, we already have that ( b,1) = ( 5,1). Let's now calculate ( 1 b, - 1 ).
Finally, we will plot the three points and connect them with a smooth curve.
We see that the graph will never reach any negative x-value, so the answer can’t be G or J. Moreover, it does not pass through the origin, so F isn't correct either. Therefore, our graph best matches option H.
