Lauren is saving money for a new sweater. Every Sunday she counts and records the number of dollars in her piggy bank and notices that these amounts resemble a function, f(x), where x is the number of weeks since she started saving and f(x) is the amount of money in the piggy bank at the end of that week. The table of values for the function, f(x), is given below.
x
0
1
2
3
4
f(x)
5
8
13
20
29
This table belongs to a(n)
A. linear
B. quadratic
C. exponential
function.
There is a
A. first
B. second
C. third
difference of
A. 2
B. 3
C. 4
C. exponential
A. first
C. 4
Complete the following chart with the corresponding number knowing that g(x) is an exponential function and f(x) is a linear function.
x
1
2
3
f(x)
10
20
blank
g(x)
10
20
blank
x
1
2
3
f(x)
10
20
30
g(x)
10
20
40
What characteristics are true for all linear, exponential, and quadratic functions?
A. The range of the function is all real numbers.
B. The graph of the function has no x-intercepts.
C. The graph of the function is always increasing.
D. The domain of the function is all real numbers.
E. The graph of the function has multiple x-intercepts.