What line does a function with exponents make?

What line does a function with exponents make?

• A. Curved.
• B. Straight.
• C. Vertical.
• D. Parallel.

Answer: (A)

When a function involves exponents, its graph bends rather than staying a straight line. That’s because exponential behavior changes the rate of change as x changes: the slope is not constant. For an exponential like y = a^x, the rate at which y grows (or shrinks) is proportional to y itself, so as x increases, the curve gets steeper (or as x decreases, it flattens). A straight line, by contrast, has a constant slope everywhere, which only happens with linear functions y = mx + b. So a function with exponents produces a curved line, not a straight one, whether the base causes growth or decay.

When a function involves exponents, its graph bends rather than staying a straight line. That’s because exponential behavior changes the rate of change as x changes: the slope is not constant. For an exponential like y = a^x, the rate at which y grows (or shrinks) is proportional to y itself, so as x increases, the curve gets steeper (or as x decreases, it flattens). A straight line, by contrast, has a constant slope everywhere, which only happens with linear functions y = mx + b. So a function with exponents produces a curved line, not a straight one, whether the base causes growth or decay.