when comparing linear and exponential functions, which of the following is true?

a. a linear function has a common multiplier, while and exponential function has a common difference

b. a linear function has a common difference, while an exponential function has a common multiplier.

c. a linear function has a curved graph, while an exponential function has a straight graph.

d. a linear function uses repeated multiplication, while an exponential function uses repeated addition

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shawnbattle234 shawnbattle234 · Answer 1 · 2021-04-22T16:11:31+02:00

I think the answer is a

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PratikshaS PratikshaS · Answer 2 · 2022-05-20T16:12:06+02:00

The statement at option (b) a linear function has a common difference, while an exponential function has a common multiplier is true.

"Linear function is a function whose graph is a straight line on the coordinate plane.

The general form of the linear function is: y = mx + c, where m is the slope of the line."

"An exponential function is a relation of the form y = a^(x), with x ranging over the real numbers as the exponent of a positive number a."

We know,

The common difference is the constant rate of change, or the slope.

The base of an exponential expression is commonly referred to as the multiplier.

This means, a linear function has a common difference, while an exponential function has a common multiplier.

Hence, the correct answer is option (b).

Learn more about linear and exponential function here:

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