Question

Please help!

Describe the characteristics of the function shown.


Look at image to understand.

Answer 1

• -∞
• 0
• negative

Explanation:

You want the end behavior and the sign of the function y = -3/5(5/7)^x.

End behavior

This is an exponential function, so it will tend toward 0 in one direction and toward infinity in the other direction. The sign of the infinity will match the sign of the multiplier. The base of the exponent here is less than 1, so the tendency toward 0 will occur for positive values of x.

y → -∞ as x → -∞

y → 0 as x → +∞

y < 0 for all x . . . (y is negative)