Answer:
Step-by-step explanation:
Quadratic Equation Given:
Find each key feature of the function shown in the graph. Write the range and domain in interval notation, and assume all values
are integers. What's the domain and range for this graph ?
1 answer:
The domain of the graph is while the range of the graph is
.
- The domain of the graph is input values of "x" for which the function exists while the range is the output values "y" for which the function exists.
For the graph, the domain will be the values of the graph along the x-axis.
- Domain =
(Note that -8 is not included)
- For the range, the interval is given as:
. Note that the value of 4 is not included since it is opened.
Learn more on domain and range here: brainly.com/question/1942755
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The asymptote cannot be x= because x can be any number. If you think about it, you can take a number to any exponent.
If x is a positive exponent, y is positive.
If x is a nevative exponent, y decreases, but is still positive. This is because a number to a negative exponent equals 1 over the number to the positive exponent. Thus, it is smaller, but still positive.
If x is 0, y is positive again because anything to the zero is positive 1.
There is no way y could be less than or equal to zero. So, there is an asymptote at y=0.
Also, set the equation equal to 0 and solve. You should end up with 4^x=0. Since no exponenent can make a number zero, this isn't possible, so y cannot equal zero.
Here is the graph for a visual:
If x is a positive exponent, y is positive.
If x is a nevative exponent, y decreases, but is still positive. This is because a number to a negative exponent equals 1 over the number to the positive exponent. Thus, it is smaller, but still positive.
If x is 0, y is positive again because anything to the zero is positive 1.
There is no way y could be less than or equal to zero. So, there is an asymptote at y=0.
Also, set the equation equal to 0 and solve. You should end up with 4^x=0. Since no exponenent can make a number zero, this isn't possible, so y cannot equal zero.
Here is the graph for a visual: