Question

4. Consider the following function.f(x) = 5*Complete the following statements about f(x).The y-intercept of f(x) isThe x-intercept of f(x) isThe end behavior of f(x) is

Answer 1

The y intercept is the point at which at which the graph cuts the x axis. At this point, x = 0

Thus, given that the function is expressed as

f(x) = 5^x, at x = 0

f(0) = 5^0 = 1

y intercept = 1

The x intercept is the point where y or f(x) = 0

It becomes

0 = 5^x

x = - infinity

The end behavior of a function is the behavior of the graph of f(x) as x approaches positive or negative infinity. For the end behavior of f(x), f(x) tends to - infinity as x tends to - infinity