Question 1

Based on the graph of the dollar sign, determine whether the relation is a function.

Accepted Answer

No, because some x-values correspond to more than one y-value.

Question 2

Given the set of ordered pairs $$\{(1,-4), (2,5), (-3,-4), (-1,0)\}$$, is this relation a function? What is its domain?

Accepted Answer

Yes, domain is $$\{1, 2, -3, -1\}$$

Question 3

For the equation $$y^2 + 3 = x$, is the relation a function?

Accepted Answer

No, because for some x there are two possible y values.

Question 4

Using the graph of $$f ($$red curve), what is the $$y-$$intercept?

Accepted Answer

$$y = -1$$

Question 5

From the graph of $$f$$, determine the interval(s) where the function is increasing.

Accepted Answer

$$(-5, -3)$$ and $$(1.2, 7.9)$$

Question 6

Find the relative maximum value(s) of $$f$$ from the graph.

Accepted Answer

$$x = 2.8$$

Question 7

What is the range of the function $$f$$ shown in the graph?

Accepted Answer

$$[-6, 8]$$

Question 8

For which values of $$x is$$ $$f(x) \u003e 0$$ according to the graph?

Accepted Answer

$$x \in (-3, -1) \cup (1.2, 7.9)$$

Question 9

Find the relative minimum value of $$f$$ from the graph.

Accepted Answer

$$y = -6$$

Question 10

For what value of $$x is$$ $$f(x) = 8$$ according to the graph?

Accepted Answer

$$x = 7.9$$

Question 11

Given $$f(x) = -3 - x$$, what transformation is applied to the parent function $$y = x$$?

Accepted Answer

Reflection over the y-axis and shift down 3 units

Question 12

Given $$g(x) = x + 2$$, what is the domain and range?

Accepted Answer

Domain: $$(-\infty, \infty)$$, Range: $$(-\infty, \infty)$$

Question 13

Given $$h(x) = x - 5x^2$ - 3x - 4$$, what is the domain?

Accepted Answer

Domain: $$(-\infty, \infty)$$

Question 14

If $$m(x) = x + 3$$ and $$f(x) = x^2$ + 2x$$, what is $$m(x) - f(x)$$ and its domain?

Accepted Answer

$$x + 3 - x^2$ - 2x$$, Domain: $$(-\infty, \infty)$$

Question 15

Given $$j(x) = x$$ and $$g(x) = 6x - 1$$, what is the domain of $$j \circ g(x)$$?

Accepted Answer

Domain: $$(-\infty, \infty)$$

Question 16

Using the bar chart, write a linear function in slope-intercept form for the percentage of total spending on food from 1950 to 2010.

Accepted Answer

$$p(x) = -0.25x + 22$$

Question 17

Using the bar chart, write a linear function in slope-intercept form for the percentage of total spending on health care from 1950 to 2010.

Accepted Answer

$$h(x) = 0.22x + 3$$

Question 18

Using the exercise and depression remission chart, write a linear function $$h(x)$$ that models the percentage of patients in remission as a function of walking time.

Accepted Answer

$$h(x) = 0.1x + 18$$

Question 19

Using the wine consumption and heart disease table, if a person drinks 8 liters of wine per year, estimate the number of deaths from heart disease per 100,000 people per year using a line through France and the U.S.

Accepted Answer

Approximately 120 deaths per 100,000 people per year

Is the Relation a Function? (Graphical Analysis)

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