Which term describes a function with constant ratio increase?

Which term describes a function with constant ratio increase?

• A. Logarithmic function
• B. Exponential function
• C. Quadratic
• D. Syntax error

Answer: (B)

Constant ratio increase means each step multiplies the previous value by the same factor. That is the defining trait of an exponential function. In its common form, f(x) = a · b^x, the output scales by a constant factor b whenever x increases by one unit. Because of this, the growth is by a fixed multiplier, not by a fixed addition. This explains why it’s different from a quadratic function, where the amount added between consecutive values grows as x grows, so the ratio isn’t constant. It’s also different from a logarithmic function, which increases quickly at first but then slows and does not maintain a constant ratio between successive outputs. And a syntax error isn’t a function at all.

Constant ratio increase means each step multiplies the previous value by the same factor. That is the defining trait of an exponential function. In its common form, f(x) = a · b^x, the output scales by a constant factor b whenever x increases by one unit. Because of this, the growth is by a fixed multiplier, not by a fixed addition.

This explains why it’s different from a quadratic function, where the amount added between consecutive values grows as x grows, so the ratio isn’t constant. It’s also different from a logarithmic function, which increases quickly at first but then slows and does not maintain a constant ratio between successive outputs. And a syntax error isn’t a function at all.