Answer:
The domain and range remain the same.
Step-by-step explanation:
Hi there!
First, we must determine what increasing <em>a</em> by 2 really does to the exponential function.
In f(x)=ab^x, <em>a</em> represents the initial value (y-intercept) of the function while <em>b</em> represents the common ratio for each consecutive value of f(x).
Increasing <em>a</em> by 2 means moving the y-intercept of the function up by 2. If the original function contained the point (0,x), the new function would contain the point (0,x+2).
The domain remains the same; it is still the set of all real x-values. This is true for any exponential function, regardless of any transformations.
The range remains the same as well; for the original function, it would have been 
. Because increasing <em>a</em> by 2 does not move the entire function up or down, the range remains the same.
I hope this helps!
Answer:
Domain: {0, 2, 5}
Range: {0, 2, 5}
The relation is not a function since the 0 appears more than once as an x-coordinate.
Step-by-step explanation:
The domain is the set of the x-coordinates.
The range is the set of the y-coordinates.
If any value appears more than once as an x-coordinate, it is not a function.
Domain: {0, 2, 5}
Range: {0, 2, 5}
The relation is not a function since the 0 appears more than once as an x-coordinate.
Answer:
65 degrees.
Step-by-step explanation:
Since angle JLG is 115 degrees, andgle JLH must be 65 because the two angles are supplementary, which means they add up to 180 degrees.
y = 12000x + 35000
When Mr. Nicolas began recording, it means, at 0 hour, how many tortillas was produced?
Subs x by 0.
y = 12000.0 + 35000
y = 0 + 35000
y = 35000
When Mr. Nicolas began recording the data, 35,000 tortillas had already been produced
The total number of tortillas produced 2 hours after the he began, it means, when x = 2
y = 12000 . 2 + 35000
y = 24000 + 35000
y = 59000
The total number of tortillas produced 2 hours after he began recording the data was 59,000
The total number of tortillas produced _ hours after he began recording the data was 85,000
Now we have y but not x.
y = 12,000x + 35,000
85,000 = 12,000x + 35,000
85,000 - 35,000 = 12,000x
50,000 = 12,000x
x = 50/12
x = 25/6
x = 4,1666...
Rounding
x = 4,167
