Question

Where is the horizontal asymptote of the function f(x) = -2(7)ˣ + 4?

a) x = 0
b) x = [infinity]
c) y = 0
d) y = [infinity]

Answer 1

The horizontal asymptote of the function f(x) = -2(7)ˣ + 4 is y = 4, as the term -2(7)ˣ approaches 0 when x approaches negative infinity.

Step-by-step explanation:

The horizontal asymptote of the function f(x) = -2(7)ˣ + 4 can be determined by looking at the exponential term. In this case, as x approaches negative or positive infinity, the exponential term will approach zero.

Therefore, the horizontal asymptote of the function is the line y = 4.The question is asking for the horizontal asymptote of the function f(x) = -2(7)x + 4. To find the horizontal asymptote,

we look at what happens as x approaches positive or negative infinity. Since -2(7)x approaches 0 as x approaches negative infinity, and the + 4 doesn't change, the horizontal asymptote is the constant term which is y = 4. Therefore, the correct answer is d) y = [infinity].