Respuesta :
Answer:
This is an exponential graph decreasing from the left and crossing the y-axis at 0 comma 5.
Step-by-step explanation:
The given function is [tex]f(x) = 5(0.21)^{x}[/tex]
Since, the base of the function is 0.21 which is a fraction, so as the value of exponent x increases the value of function f(x) decreases.
Now, the y-intercept of the function is at x = 0 ans hence, [tex]f(x) = y = 5(0.21)^{0} = 5[/tex] {Since, [tex]a^{0} = 1[/tex] for all a ≠ 0}
Therefore, the graph of the function crosses y-axis at (0,5) point.
So, this is an exponential graph decreasing from the left and crossing the y-axis at 0 comma 5. (Answer)