# MATH_QUIZ

1. (10 pts) For each graph, is the graph symmetric succeeding a while regard to the *x*-axis? *y*-axis? commencement?(No exposition required. Upright reply **Y**es or **N**o to each scrutiny.)

(a)

Symmetric succeeding a while regard to the

*x*-axis? ____

*y*-axis? ____

origin? ____

(b)

Symmetric succeeding a while regard to the

*x*-axis? ____

*y*-axis? ____

origin? ____

2. (10 pts) Let . (no exposition required)

(a) Say the nothing(s) of the duty. ________

(b) Which of the forthcoming is gentleman? ** **2. ______

A. *f* is an well-balanced duty.

B. *f* is an odd duty.

C. *f* is twain well-balanced and odd.

D. *f* is neither well-balanced nor odd.

3. (10 pts) Which of the forthcoming equations does the graph illustrate? **Show achievement or exposition.** 3. ______

A.

B.

C.

D.

4. (10 pts) Look at the graph of the quadratic duty and perfect the consultation.**[***No expositions required.*]

**Graph**

**Fill in the blanks **

**Equation**

(a) Say thevertex:

____________

(b) Say therange:

_____________

(c) Say the meandate on which the duty is increasing:

_____________

(d) The graph illustrates which of the forthcoming equations?

**Choice:____**

A. *y* = –*x*^{2}+4*x*– 3

B. *y* = –2*x*^{2} –*x* + 3

C. *y* = *x*^{2} – 2*x*– 3

D. *y* = *x*^{2}+ 2*x*– 3

5. (10 pts) Consider the points(– 3, 7) and (3, –1).

(a) Find the **slope-intercept equation** of the verse latter through the two consecrated points. **Show achievement.**

(b) Graph the verse you rest in (a), eitherdrawing it on the grid in the preceding example #3, or generating the graph electronically and attaching it.

(c) Compare your verse for this example, #4, succeeding a while the verse in the preceding example #3. Are the two verses concurrent, upright, or neither concurrent nor upright?(The provisions concurrent and upright are discussed on pages 166 and 167.)**No exposition required – upright say the reply.**

6. (10 pts) The reckon of guests *g* in a instil precinct *t* hours succeeding 9 am is consecrated by *g*(*t*) = –32*t*^{2} + 224*t* + 266 for 0 £*t*£ 8. (*t* = 0 corresponds to 9 am)

*Find* and *interpret* the mean scold of vary of *g* aggravate the meandate {*t* | 4 £*t*£ 7} = [4, 7].

**Show achievement**.

7. (10 pts) Luke wants to dissipation custom-made mugs to proclaim his vocation. Two companies extend incongruous deals:

Troop A: Pay a scheme fee of $50.00, plus $4.50 per mug

or Troop B: Pay a scheme fee of $92.00, plus $3.90 per mug

(a) Say a versear duty *f *(*x*) that illustrates Company A's sum entrust for an manage of *x*mugs.

(b) Say a versear duty *g*(*x*) that illustrates Company B's sum entrust for an manage of *x*mugs.

(c) Luke wants to dissipation 120 custom-made mugs, as cheaply as practicable. Succeeding a while which troop should he assign his manage? **Show achievement/explanation.**

(d) For what reckon of mugs is the sum entrust precisely the corresponding for twain companies? **Show algebraic achievement/explanation.**

(e) Fill in the blanks:

**CompanyA is the cheaper discretion if ________**(pick-out *less**or more*)

**than______**

**(invade reckon)mugs are manageed.**

8. (10 pts) A graph of *y* = *f*(*x*) follows. No formula for *f* is consecrated. 7. _______

Which graph (A, B, C, or D) illustrates the graph of *y* = *f*(*x***-1) ****-1** ?

** EXPLAIN YOUR CHOICE.**(Grid replete for dabble achievement; You are NOT required to succumb your own graph)

*y* = *f *(*x*)

GRAPH A (below) GRAPH B(below)

GRAPH C(below) GRAPH D(below)

9. (10 pts, ** no** exposition required)

Consider the graph of the piecewise duty *y* = *f *(*x*) pictured adown.

(a) State the appreciate of *f *(-2).

(b) Say the *x*-intercept(s), if any.

(c) Say the *y*-intercept(s), if any.

(d) Say the territory of the piecewise duty.

(e) Say the ramble of the piecewise duty.

(f) Say the meantime(s) on which the duty is increasing. That is, for what *x*-values is the duty increasing?

(g) Say the meantime(s) on which the duty is decreasing. That is, for what *x*-values is the duty decreasing?

10. (10 pts) Society trust at extraction is the honord societyspan of a baby born in a point year (consecrated the provisions of that date conclusion). Based on grounds retrieved from http://www.indexmundi.com/facts/united-states/life-expectancy-at-birth the forthcoming chart of U.S. society trust for **males** has been dexterous.

The retreat verse is *y* = 0.2052*x* – 336.5, where *x* = extraction year and *y* = U.S. society manly trust, in years. The appreciate of *r*^{2} is 0.9809.

(a) Use the retreat verse to honor the U.S. society trust of a manly baby born in 1970, to the rectidirect tenth of a year. Show some achievement.

(b) Use the retreat verse to foretell the U.S. society trust of a manly baby born in 2020, to the rectidirect tenth of a year. Show some achievement.

(c) What is the **slope** of the retreat verse and what are the units of mass? In a doom, decipher what the increase is powerful us, in the treatment of this real-world collision.

(d) What is the **appreciate of the mutuality coefficient, r**? Also,

**decipher its appreciate**: Looking at the graph and the greatness of

*r*, do you arbiter the

**strength of the versear relationship**to be very potent, tolerably potent, slightly irrepressible, or very irrepressible?