4
advanced-math

Which function has the greatest y-intercept?

A: y=50(2)xy = 50(2)^xB: y=100(0.5)xy = 100(0.5)^xC: y=25(3)xy = 25(3)^xD: y=75(1.5)xy = 75(1.5)^x

A

Function B

B

Function A

C

Function D

D

Function C

Correct Answer: A

Choice A is the correct answer. Compare initial values.

  1. Y-intercepts (when x=0x=0, b0=1b^0=1):
    • Function A: 5050
    • Function B: 100100 ← Largest
    • Function C: 2525
    • Function D: 7575
  2. Winner: Function B with 100.

💡 Strategic Tip: Y-intercept of y=abxy = ab^x is always aa.

Choice B is incorrect because Function A's intercept is 50, not the largest. Choice C is incorrect because Function D's intercept is 75. Choice D is incorrect because Function C's intercept is only 25.