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2.2 Evaluating Functions Practice, Lecture notes of Calculus

University of San Carlos (USC)Calculus

2.2 Evaluating Functions Practice. Show all work for credit. 1. The function f (x)= 2x2 −1is represented in the table below. Evaluate the following.

Typology: Lecture notes

2021/2022

Uploaded on 08/05/2022

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Name:_______________________________________________Date:_________________Period:_______________!
2.20Evaluating0Functions0Practice0
Show0all0work0for0credit.0
!
1.!!The!function!
f(x)=2x2−1
is!represented!in!the!table!below.!Evaluate!the!following.!!
!
! !
! ! A.!!f(0)!! ! ! ! B.!!f(8)!
!
!
!
!
!
!!!!C.!!f(@3)!!!!D.!!x!=!@2!
!
!
!
!
!
2.!!The!graph!below!represents!the!function!g(x).&Use!the!graph!to!evaluate!the!following.!!
!
!
! !
A.!!g(@8)!!!B.!!x!=!@5!
!
!
!
!
!C.!!g(0)!!!D.!!g(3)!
!
!
!
!
!
!
3.!!Use!the!given!functions!to!evaluate!at!the!specified!value!by!hand.!
!
A.!!
f(x)=x−7+2
!!!!!!
f(−2)
!!!!B.!!
h(x)=−2x+4
!!!!!!!!
x=4
!
!
!
!
!
!
!
!
C.!!
g(x)=2x−7
!!!!!!!
g(7)
!!!!D.!!!
!!!!!!!!!!
j(3)
!
!
!
!
!
x!
y!
@3!
17!
@2!
7!
0!
@1!
2!
7!
8!
17!
pf3

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Name:_______________________________________________Date:_________________Period:_______________ 2.2 Evaluating Functions Practice Show all work for credit.

  1. The function f ( x ) = 2 x 2 − 1 is represented in the table below. Evaluate the following. A. f(0) B. f(8) C. f(-­‐3) D. x = -­‐ 2
  2. The graph below represents the function g(x). Use the graph to evaluate the following. A. g(-­‐8) B. x = -­‐ 5 C. g(0) D. g(3)
  3. Use the given functions to evaluate at the specified value by hand. A. f ( x ) = x − 7 + 2 f (− 2 ) B. h ( x ) = − 2 x + 4 x = 4 C. g ( x ) = 2 x − 7 g ( 7 ) D. j ( x ) = 3 x j ( 3 ) x y -­‐ 3 17 -­‐ 2 7 0 -­‐ 1 2 7 8 17
  1. The function f ( x ) = 1. 5 ( 2 ) x describes the growth of a certain bacteria after x number of days. Find the amount of bacteria after 3 days.
  2. The function f ( x ) = 75 + 15 x models the number of likes a photo on instagram receives with x hashtags. How many likes will a photo with 6 hashtags receive?
  3. Which equation could be used to generate this table of values? A. y = -­‐3x+ B. y = 3x+
  4. Which equation best describes the relationship between x and y in this table? A. y = 4x – 1 B. y = 4x + 1 C. y = x + 1 x y -­‐ 1 2 0 5 1 8 2 11 x y -­‐ 4 -­‐ 3 -­‐ 2 -­‐ 1 2 3 6 7