Answer:
Linear, Quadratic, Radical, Absolute Value, Cubic, Cube Root
Step-by-step explanation:
To find:
Which functions have an intercept at (0, 0).
That means, when we put a value in the
, value of
.
Let us discuss each <em>parent</em> function one by one:
1. Linear:
When we put x = 0, y = 0
Therefore, it has intercept at (0, 0).
2. Quadratic:
When we put x = 0, y = 0
Therefore, it has intercept at (0, 0).
3. Radical:
When we put x = 0, y = 0
Therefore, it has intercept at (0, 0).
4. Absolute Value:
When we put x = 0, y = 0
Therefore, it has intercept at (0, 0).
5. Rational:
When we put
Therefore, it does not have intercept at (0, 0).
6. Exponential:
b is any base
When we put
Therefore, it does not have intercept at (0, 0).
7. Logarithmic:
When we put Not defined
Therefore, it does not have intercept at (0, 0).
8. Cubic:
When we put
Therefore, it has intercept at (0, 0).
9. Cube Root:
When we put
Therefore, it has intercept at (0, 0).