Comparing functions

High School Math 1 · Unit 12 · comparing-function-families

comparing-function-families

Name ______________________________Date ______________

1.
A table gives $x = 0, 1, 2, 3$ and $y = 2, 5, 10, 17$ . Which family does the table belong to?
1. (A)
  Quadratic
2. (B)
  Linear
3. (C)
  Exponential
4. (D)
  None of these
2.
A table gives $x = 0, 1, 2, 3$ and $y = 4, 12, 36, 108$ . The pattern continues. What is $y$ when $x = 5$ ?
Answer: ______________
3.
Let $L(x) = 20x$ and $E(x) = 2^{x}$ . For small positive $x$ , $L(x)$ is larger. What is the smallest positive integer $x$ for which $E(x) > L(x)$ ?
Answer: ______________
4.
A table gives $x = 1, 2, 3, 4$ and $y = 5, 8, 11, 15$ . Which statement about the table is correct?
1. (A)
  Linear, because the differences are all about $3$
2. (B)
  Exponential, because $y$ keeps increasing
3. (C)
  Not linear, because the first differences $3, 3, 4$ are not all equal
4. (D)
  Quadratic, because the second differences are $0$ and $1$
5.
A quadratic function $f$ satisfies $f(0) = 3$ , $f(1) = 6$ , and $f(2) = 13$ . What is $f(5)$ ?
1. (A)
  $43$
2. (B)
  $48$
3. (C)
  $53$
4. (D)
  $58$
5. (E)
  $63$