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oksian1 [2.3K]
3 years ago
9

Geraldine is asked to explain the limits on the range of an exponential equation using the function f(x) = 2^x. She makes these

two statements:

Mathematics
2 answers:
GalinKa [24]3 years ago
8 0

<u>General Idea:</u>

Domain is the values of x which gives a defined output to the function, and Range is the values of y that we get by substituting domain values of x. For the function f(x) = a^x, where a > 0, the domain will be all real numbers and range will be all values greater than 0. That is the graph will be very close to x-axis but will never touch it.

<u>Applying the concept:</u>

From the attached table, we can notice that as x increases infinitely, the y-values are continually doubled for each single increase in x and as x decreases infinitely, the y-values are continually halved for each single decrease in x.

Option 1: "Statement 1 is incorrect because the y-values are increased by 2, not doubled".

Option 1 is INCORRECT because Statement 1 is TRUE & CORRECT.

Option 2: "Statement 2 is incorrect because the y-values are doubled, not halved".

Option 2 is INCORRECT because Statement 2 is TRUE & CORRECT.

Option 3: "The conclusion is incorrect because the range is limited to the set of the integers"

Option 3 is INCORRECT because, the range will be always greater than 0, because irrespective of how many times y is halved for each single decrease in x, the y will still be a positive fraction and won't be a negative.

Option 4: "The conclusion is incorrect because the range is limited to the set of positive real numbers"

<em><u>Option 4 is CORRECT because y value will be positive irrespective of whatever x we substitute in the function.</u></em>

Inga [223]3 years ago
4 0

Answer:

Option 4 is the Correct answer!

Hope I helped! :}

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8 0
3 years ago
An angle measures 47.2° less than the measure of its supplementary angle. What is the measure of each angle? on ixl
SVEN [57.7K]

Answer:

The measure of one angle is 113.6^o, and the measure of the other one is 66.4^o

Step-by-step explanation:

Recall that supplementary angles are those whose addition renders 180^o

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Let's call such angles x and y, and consider that angle x is larger than angle y, so we can setup the following system of equations:

x+y=180^o\\x-y=47.2^o

We can now solve this by simply combining term by term both equations, thus  cancelling the term in "y", and solving first for "x":

x+y=180^o\\x-y=47.2^o\\\\2x=180^o+47.2^o\\2x=227.2^o\\x=113.6^o

So, now we have the answer for one of the angles (x), and can use either equation from the system to find the measure of angle "y":

y=180^o-x\\y=180^o-113.6^o\\y=66.4^o

5 0
3 years ago
The Elk Grove Bowling Alley offers a special. Each game costs $2.50, and shoe rental $2.
Ksenya-84 [330]

Answer:

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5 0
2 years ago
Read 2 more answers
What is the probability that he will lose the tennis match? 2 over 9?
Misha Larkins [42]
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3 years ago
How to do substitution
Brut [27]
You solve for one variable like 
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"y=5x+2"

9x+3y=58
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You solve for x and then plug in your answer for x into the other equation
*let's imagine x=8*
then:
y-5(8)=2
and solve for y 
:D 


5 0
3 years ago
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