An exponential function is graphed in the xy-plane. If the graph of the function is always decreasing and has a y-intercept of 20, which of the following could be the function's equation?

A. y = - 20 (1.75) ^x

B. y = 20 (1.75) ^x

C. y = - 20 (0.75) ^x

D. y = 20 (0.75) ^x

Question

Eileen Crosby

Mathematics

24 September, 13:19

An exponential function is graphed in the xy-plane. If the graph of the function is always decreasing and has a y-intercept of 20, which of the following could be the function's equation?

A. y = - 20 (1.75) ^x

B. y = 20 (1.75) ^x

C. y = - 20 (0.75) ^x

D. y = 20 (0.75) ^x

+5

Answers (1)

Know the Answer?

Arjun Bell · Answer 1

D. y = 20 (0.75) ^x,

for function to be decreasing value under exponent should be less than 1,

y (int) can be found when x=0

y = 20 (0.75) ^0=20*1=20

An exponential function is graphed in the xy-plane. If the graph of the function is always decreasing and has a y-intercept of 20, which of the following could be the function's equation?A. y = - 20 (1.75) ^xB. y = 20 (1.75) ^xC. y = - 20 (0.75) ^xD. y = 20 (0.75) ^x

An exponential function is graphed in the xy-plane. If the graph of the function is always decreasing and has a y-intercept of 20, which of the following could be the function's equation?

A. y = - 20 (1.75) ^x

B. y = 20 (1.75) ^x

C. y = - 20 (0.75) ^x

D. y = 20 (0.75) ^x