What is the range of the exponential function shown below
2 answers:
Answer:
The correct option is C.
Step-by-step explanation:
Range is the set of output or the values of the function.
The given function is
If a exponential function is defined as g(x)=a^x, where a>0, then the value of g(x) is always greater than 0, g(x)>0.
It means,
Multiply both sides by 9.
The value of the function f(x) is always greater than 0, therefore the range of the function is
Range = { y | y>0}
Hence the correct option is C.
Answer : y>0
f(x) = 9*2^x
f(x) is an exponential function
When we plug in positive value for x , the value of y is positive
When we plug in negative value for x , the value y is also positive
So for any value of x, the y value is positive always.
Range is the set of y values for which the function is defined
y values are positive , so range is y >0
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Answer:
Step-by-step explanation:
Vertex form is accomplished by completing the square on the quadratic. Do this by first setting the parabola equal to 0 then moving the constant over to the other side:
Now take half the linear term, square it, and add it to both sides. Our linear term is 6. Half of 6 is 3, and 3 squared is 9:
The reason we do this is to create a perfect square binomial on the left:
(obviously the 0 results from the addition of 9 and -9). Move the 0 back over to the other side and set the quadratic back equal to y:
This gives you a vertex of (-3, 0), which is a minimum value, since the parabola opens upwards.
Answer:
20ft
Step-by-step explanation:
Use ratios:
Solve for x
x = 20