Advanced MathVery hardY-intercept of an exponential through two points
Advanced Math practice question
In the xy-plane, the graph of an exponential function y = a·bˣ passes through (1, 12) and (2, 48). What is the y-intercept of the graph?
Answer: 3
b = 48/12 = 4, and a·4 = 12 gives a = 3; the y-intercept is a = 3.
Common wrong answers
- If you answered 0
- An exponential function never reaches 0.
- If you answered 4
- 4 is b.
- If you answered 12
- 12 is the value at x = 1.
More Advanced Math questions
- Very hard
The function f(x) = x² + 6x + 5 is rewritten in the form f(x) = (x + a)² + b. What is the value of b? - Very hard
What is the solution to the equation 6/(x − 2) = 3? - Very hard
The polynomial p(x) = x³ − 4x has how many distinct real zeros? - Very hard
The polynomial p is defined by p(x) = x³ + ax² + bx − 12, where a and b are constants. If x − 2 is a factor of… - Very hard
The function f, defined by f(x) = 3000(1.331)^(x/12), gives the value, in dollars, of an investment x months a… - Very hard
In the xy-plane, the parabola y = x² − 4x + 7 and the line y = mx − 2, where m is a constant, intersect at exa…
Not affiliated with the College Board. SAT is a trademark of the College Board.