Advanced Math practice question

Answer: A. (0, 5)

On the y-axis x = 0, and 3⁰ = 1, so y = 5 · 1 = 5. The graph crosses at (0, 5). In y = a · bˣ, the y-intercept is always a.

Why the other answers are wrong

B. (0, 3)

3 is the base — the growth factor per unit of x — not the starting value.

C. (0, 15)

15 is 5 · 3, the value at x = 1. At x = 0 the power 3⁰ is 1, not 3.

D. (0, 8)

8 is 5 + 3, adding the two numbers. They multiply, and 3⁰ = 1.

More Advanced Math questions

• Easy–Medium
  If f(x) = 2x² − 3, what is f(4)?
• Easy–Medium
  Which expression is equivalent to (2x³)(3x⁴)?
• Easy–Medium
  What are the solutions to x² − 16 = 0?
• Easy–Medium
  Which expression is equivalent to (x + 5)²?
• Easy–Medium
  For x ≠ 0, which expression is equivalent to (x² + 3x) / x?
• Easy–Medium
  What are the solutions to the equation 2(x − 3)² − 32 = 0 ?