The range of which function is (2, infinity)? y = 2x y = 2(5x) y = 5x 2 y = 5x 2
1 answer:
The function which has range (2, infinity) from the provided function is y = 5ˣ +2. Option 4 is correct.
<h3>What is range of function?</h3>Range of a function is the set of all the possible output values which are valid for that function.
The function whose range is (2, ∞) has to be find out.
The first function given in the problem is,
This function has the periodic function with period of logarithmic function and the range of this function is all the real number. This is not the correct option.
The second function given in the problem is,
This function has the periodic function with period of logarithmic function and the range of this function is all the real number. This is not the correct option.
The fourth function given in the problem is,
This function is translated 5 units up to the function 5ˣ which has the range (0,∞).
Thus, the range of this function is (2, ∞).
Hence, the function which has range (2, infinity) from the provided function is y = 5ˣ +2. Option 4 is correct.
Learn more about range of the function here;
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We will use the above-mentioned property to get rid of the common shapes that exist on both sides. Here, the balance represents equality between both sides.
Consider that the pans are initially balanced. And both sides contain a red cube. So we can subtract or eliminate the red cube and the equality will still hold true.
Similarly, we can eliminate the blue sphere.
At this point, we have the purple pyramid and a yellow diamond on the left side, and on the right side, we have 4 pieces of yellow diamond.
Observe that one piece of yellow diamond is common to both sides, so it can also be eliminated from both sides.
After this, the left side will contain only the purple pyramid while the right side contains 3 yellow diamonds. Since we are always using the subtraction property to eliminate the shapes, the balance must be maintained throughout the process.
At last, there must exist a balance between the left side containing the purple pyramid only, and the right side containing 3 yellow diamonds.
Therefore, it can be concluded that one purple pyramid is equal to 3 yellow diamonds.