The equation above is the intercept form. Both a-term and b-term are the roots of equation.
These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.
Here we can convert the expression x+1/3 to this.
Rewrite the equation.
Simplify by multiplying both expressions.
<u>Answer</u><u> </u><u>Check</u>
Substitute the given roots in the equation.
The equation is true for both roots.
<u>Answer</u>
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;
