Victory for the ACT Student Text 15e

234 • M ATH

24. Š‹…Š ‘ˆ –Š‡ ˆ‘ŽŽ‘™‹‰ ‹• –Š‡ ‰”ƒ’Š ‘ˆ –Š‡ equation x y 9 16 1 2 2 + = ? F. J. G. K. H.

Throwback to Math Class The equation of an ellipse is + = ( ) ( ) 2 2 − − The center of the ellipse is at ( , ) h k , p is the horizontal distance to the ellipse to the left or right of ( , ) h k , and q is the vertical distance to the ellipse above or „‡Ž‘™ ( , ) h k . p x h 2 q y k 2

Use POE  ‹–‡ ͓ʹͶǡ •‹…‡ ›‘— ‘™ –Š‡ ‡“—ƒ–‹‘ ”‡’”‡•‡–• ƒ ‡ŽŽ‹’•‡ǡ ™‡…ƒ ‡Ž‹‹ƒ–‡ ȋ Ȍǡ ȋ Ȍǡ ƒ† ȋ Ȍ ‹‡†‹ƒ–‡Ž›Ǥ ‘™ ›‘— ™‘—Ž† have a 50/50 chance of guessing correctly.

1

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QUALITATIVE BEHAVIOR OF GRAPHS OF FUNCTIONS

Š‡ ϐ‹‰—”‡ „‡Ž‘™ •Š‘™• –Š‡ ‰”ƒ’Š ‘ˆ a function g ( x ). What is the minimum degree of g ( x )?

Š‡ ϐ‹‰—”‡ „‡Ž‘™ •Š‘™• –Š‡ ‰”ƒ’Š ‘ˆ ( ) f x in the standard ( x , y ) coordinate plane. For –Š‡ ’‘”–‹‘ ‘ˆ –Š‡ ‰”ƒ’Š •Š‘™ǡ ˆ‘” Š‘™ many values of x is ( ) f x 3 ?

25.

26.

Throwback to Math Class The degree of g ( x ) is the highest exponent in the equation of g ( x ).

A. One Ǥ ™‘ C. Three D. Four E. Five

F. Zero G. One Ǥ ™‘ J. Three K. Four