Graph y=6^x

Problem

y=6

Solution

1. Identify the type of function. This is an exponential function of the form y=bx where the base b=6 is greater than 1

2. Determine the y-intercept by substituting x=0

y=6=1

3. Calculate additional points to define the shape of the curve. For x=1

y=6=6

4. Calculate a point for a negative value of x For x=−1

y=6(−1)=1/6

5. Identify the horizontal asymptote. As x approaches negative infinity, y approaches 0

As *x→−∞,y→0

6. Sketch the graph by plotting the points (0,1) (1,6) and (−1,1/6) drawing a smooth curve that rises rapidly to the right and approaches the x-axis to the left.

Final Answer

y=6

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