Question

Write an exponential function whose graph passes through the given points (0, - 2) and (- 1, - 4)

Answer 1

Answer:

$y = 2(0.5) {}^{x}$

Step-by-step explanation:

Use the general formula of exponential equation

$y = ab {}^{x}$

Plug 0,2 into the function

$- 2 = ab {}^{0}$

$- 2 = a \times 1$

$a = - 2$

$y = - 2b {}^{x}$

$- 4 = - 2b {}^{ - 1}$

$2 = b {}^{ - 1}$

${2}^{ \frac{ 1}{ - 1} }$

$2 {}^{ - 1} = 0.5$

B=0.5

$y = 2(0.5) {}^{x}$