Which statement about graph lines is true?

Which statement about graph lines is true?

• A. Without exponents, the graph is curved; with exponents, it's straight.
• B. Without exponents, the graph is straight; with exponents, it's curved.
• C. Both are curved.
• D. Both are straight.

Answer: (B)

Think about how exponents affect how a graph grows. A straight-line graph comes from a linear function where x is only to the first power, like y = mx + b, giving a constant slope. When you introduce exponents, such as x^2, x^3, or even exponential forms like 2^x, the rate at which y changes with x changes as x grows, so the graph bends into a curve. For example, y = x is a straight line, while y = x^2 forms a parabola and y = 2^x rises more and more steeply. So the idea that removing exponents keeps a straight graph and adding exponents makes it curved is correct.

Think about how exponents affect how a graph grows. A straight-line graph comes from a linear function where x is only to the first power, like y = mx + b, giving a constant slope. When you introduce exponents, such as x^2, x^3, or even exponential forms like 2^x, the rate at which y changes with x changes as x grows, so the graph bends into a curve. For example, y = x is a straight line, while y = x^2 forms a parabola and y = 2^x rises more and more steeply. So the idea that removing exponents keeps a straight graph and adding exponents makes it curved is correct.