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Chapter 3: Q 8. (page 143)

Examine the scatter diagram and determine whether the type of relation is linear or nonlinear.

Short Answer

Expert verified

The scatter diagram is linear.

Step by step solution

Given Information

The given scatter diagram is,

Examine the scatter diagram

The points seem to generally fall along with a line then it would be linear or along some curve then it would be nonlinear.

If connect the points the path would be linear as shown below,

The scatter diagram is linear.

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Most popular questions from this chapter

Graph the function $f$ by starting with the graph of $y = x^{2}$ and using transformations (shifting, compressing, stretching, and/or reflection). Verify your results using a graphing utility.

Hint: If necessary, write $f$ in the form $f (x) = a (x - h)^{2} + k$ .

$f (x) = 3 x^{2} + 6 x$

If $g (x) = 5 x - 4,$ then

(a) Determine the slope and y-intercept of each function.

(b) Use the slope and y-intercept to graph the linear function.

(d) Determine whether the linear function is increasing, decreasing, or constant

In Problems 25–32, use the given functions f and g.

$(a) f (x) = 0 (b) g (x) = 0 (c) f (x) = g (x) (d) f (x) > 0$

$(e) g (x) \leq 0 (f) f (x) > g (x) (g) f (x) \geq 1$

$f (x) = - x^{2} + 3 g (x) = - 3 x + 3$

Plot the points $(1, 5), (2, 6), (3, 9), (1, 12)$ in the Cartesian plane. Is the relation ${(1, 5), (2, 6), (3, 9), (1, 12)}$ a function? Why?

True or False If the discriminant $b^{2} - 4 a c = 0$ , the graph of $f (x) = a x^{2} + b x + c, a \neq 0$ , will touch the x-axis at its vertex.

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Examine the scatter diagram and determine whether the type of relation is linear or nonlinear.

Short Answer

Step by step solution

Given Information

Examine the scatter diagram

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Most popular questions from this chapter

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