g(X) has the larger possible y value and the maximum y value of f(X) approaches at 2
The complete question includes Options
Check all that apply.
A. g(X) has the larger possible y value
B. The maximum y value of f(X) approaches at 2
C. f(X) and g(X) have equivalent maximum values.
D. f(X) has the largest possible value
A function is a mathematical statement which relates a dependent variable to an independent variable.
It is given in the question to compare the values of y
[tex]\rm f(x) = -5^x +2\\\\g(x) = -5x^2 +2[/tex]
f(x) is exponential function and g(x) is a quadratic function
Now, if we evaluate g(x) in x = 0,
the maximum value of y is
y = 2
For the exponential function, the first term becomes zero at the limit of x--> -∞ hence the maximum tends to be 2.
Therefore both Option A and B is correct.
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