Question

Practice homework, algebra 2 honors, really need help with!!! (Exponential growth)

Answer 1

Solution

a)

From the equation

The value of b (base) is 5

Since b > 1, It's a Growth

If we set x = 0, we would get the y-intercept.

In this case, y = 1 is the y-intercept.

When x = 1, f(x) = b = 5

(1, b) --> (1, 5)

The horizontal Asymptote is y = 0

Domain

$(-\infty,\infty)$

Range

$(0,\infty)$

b)

Value of b: 2

Growth or Decay: Growth since b>1

y-intercept: 5

Key point (1, b): (1, 6)

Horizontal Asymptote is y = 4

Domain

$(-\infty,\infty)$

Range

$(4,\infty)$