Question

What is the y-intercept of the graph of y = 100(2)^x – 5?

Answer 1

• y = 95
• x = -4.322

Explanation:

Given function

• y = 100(2)^x – 5

• To find x-intercept, y-intercept

x-intercept found at y = 0

• 0 = 100(2)^x – 5
• 100(2)^x= 5
• (2)^x =5/100
• xlog2 =log0.05
• x = log0.05/log2
• x = -4.322

y -intercept is found at x = 0

• y = 100(2)^0 - 5
• y = 100 - 5
• y = 95

See attached