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Chapter 3: Q. 10 (page 136)

True or False The slope of a nonvertical line is the average rate of change of the linear function.

Short Answer

Expert verified

Given Statement is true.

Step by step solution

Step 1. Given Information

The slope of a nonvertical line is the average rate of change of the linear function.

Step 2. Explanation

Linear functions have a constant average rate of change. That is, the average rate of change of a linear function $f (x) = m x + b$ is

$\frac{∆ y}{∆ x} = m .$

Hence, given statement is true.

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Most popular questions from this chapter

In Problems 6– 8, graph each quadratic function using transformations (shifting, compressing, stretching, and/or reflecting).

$f (x) = {(x - 2)}^{2} + 2$

What is the domain of the function $f (x) = \sqrt{x - 3 x^{2}}$ ?

In Problems 7–22, solve each inequality.

$25 x^{2} + 16 < 40 x$

If the independent variable in a line of best fit $y = - 0.008 x + 14$ is credit score, and the dependent variable is the interest rate on a used car loan, then the slope is interpreted as “if credit score increases by $1$ point, the interest rate will (increase/decrease) by percent, on average.

On one set of coordinate axes, graph the family of parabolas $f (x) = x^{2} + 2 x + c$ for c = -3, c = 0, and c = 1. Describe the characteristics of a member of this family.

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True or False The slope of a nonvertical line is the average rate of change of the linear function.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Explanation

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Most popular questions from this chapter

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