Deck 1: Extension A: Functions and Models

Question 1

Refer to the graph of the function f in the following figure.

A) Find f (1).
B) Find the value of x for which
(i) f(x)= 1and (ii) f(x)=0
C) Find the domain and range of f.

Answer 1

a.0
b.(i)2 (ii)1,3
c.D: [1,4],R: [-3,1]

Question 2

If ,find and simplify ,where

A)
B)
C) 4h
D)

Answer 2

Question 3

The graphs of f(x) and g(x) are given. Find the values of f(-4) and g(3).

Answer 3

f(-4)=3, g(3)=-1

Question 4

Determine whether f is even,odd,or neither.

Question 5

If f (x)= find f (-4),f (0),and f (1).

Question 6

Find an expression for the function y=f(x) whose graph is the bottom half of the parabola

A)
B)
C)
D)
E)

Question 7

Find the domain of the function.

Question 8

Which of the following graphs is neither even nor odd?

A)
B)
C)

Question 9

An open rectangular box with volume 2m³ has a square base.Express the surface area of the box as a function of the length of a side of the base.

A)
B)
C)
D)
E)

Question 10

Determine whether the function whose graph is given is even,odd,or neither.

A) Even
B) Neither
C) Odd

Question 11

If the point (7, 3) is on the graph of an even function,what other point must also be on the graph?

A)
B)
C)
D)
E) None of these

Question 12

Determine whether the function is even,odd,or neither.

Question 13

Find the domain and sketch the graph of the function.What is its range? f (x)=

A) D: (- , ); R: [0, )
B) D: (- , ); R: (- , 0] (3, )
C) D: (- , ); R: (- , 3]
D) D: (- , ); R: [-1, )

Question 14

The graphs of f(x) and g(x) are given.For what values of x is f(x)= g(x) ?

A) 4, 2
B) -1
C) 0
D) -2,5
E) -4, 12

Question 15

If ,evaluate the difference quotient

A) h
B)
C)
D)
E) none of these

Question 16

The graph of the function is given.State the value of

A)
B)
C)
D)
E)

Question 17

Find the domain of the function.

Question 18

Find the domain of the function.

A) (- $\infty$ , 0) $\cup$ (0, $\infty$ )
B) (- $\infty$ , 0)
C)
D)

Question 19

A rectangle has perimeter 14 m.Express the area of the rectangle as a function of the length of one of its sides.

A)
B)
C)
D)
E)

Question 20

The graph shown gives the weight of a certain person as a function of age.Find the age at which the person started an exercise program.

A) 35
B) 38
C) 20
D) 54
E)