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Snezhnost [94]
2 years ago
13

A function of the form f(x)=ab^x is modified so that the b value remains the same but the a value is increased by 2. How do the

domain and range of a new function compare to the domain and range of the original function?
Mathematics
1 answer:
ANEK [815]2 years ago
3 0

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 y\neq 0. 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!

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dybincka [34]

Answer:

16/45

Step-by-step explanation:

Step 1:  When dividing fractions, use “KFC”.  It means Keep the first fraction, Flip the second one, and  

              Change it to multiplication

-4/20 ÷ -9/16    →    -4/20 ∙ 16/-9

Step 2:  Reduce any fractions if necessary, it makes multiplying them easier and you will have to reduce anyway at the end.  It’s easier arithmetic to reduce at this step.  The first fraction reduces because both the numerator and denominator are divisible by 4.  

-1/5  ∙   16/-9    

Step 3:  Multiply numerators and denominators together to get one fraction

(-16)/(-45)  

Step 4:  Cancel out the negatives, a negative divided by a negative is a positive.  Our final answer is

 

16/45  


4 0
3 years ago
In which quadrant is (-1/2, -1.8)?
andrey2020 [161]
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y = - 1.8 (negative)

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5 0
3 years ago
Rugs sell for 8$ per square foot. Beth bought a 9-foot-long rectangular rug for $432. How wide was the rug?
lawyer [7]
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3 years ago
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Answer:

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8 0
2 years ago
Help me please!! ASAP
Alexeev081 [22]

Answer:

  Total Area = 110 m²

Step-by-step explanation:

To find the area of this composite shape, extend the top horizontal line to the right. That divides the figure into a right triangle (above the extended line) and a rectangle (below the extended line).

<h3>Shape 1</h3>

Name: triangle

Formula: A = 1/2bh

Values: b = 15 m -5 m = 10 m; h = 4 m

Area = 1/2(10 m)(4 m) = 20 m²

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<h3>Shape 2</h3>

Name: rectangle

Formula: A = bh

Values: b = 15 m; h = 6 m

Area = (15 m)(6 m) = 90 m²

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Total area = Shape 1 area + Shape 2 area

Total area = (20 m²) +(90 m²) = 110 m²

5 0
1 year ago
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