Mathematics: Which parent functions have an intercept at (0,0)Choose all that are correct. Linear Quadratic Radical Absolute Value Rational Exponential Logarithmic (Log) Cubic Cube Root

1/2,2/4,3/8 and 6/16 could i plz get a i just need one ...

Which parent functions have an intercept at (0,0)Choose

Ответ:

bugbug89

31.01.2022

Mathematics

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 x=0 in the y =f(x) , value of y=0 .

Let us discuss each parent function one by one:

1. Linear:

y = x

When we put x = 0, y = 0

Therefore, it has intercept at (0, 0).

2. Quadratic:

y = x^2

When we put x = 0, y = 0

Therefore, it has intercept at (0, 0).

3. Radical:

$y = \sqrt x$

When we put x = 0, y = 0

Therefore, it has intercept at (0, 0).

4. Absolute Value:

y = |x|

When we put x = 0, y = 0

Therefore, it has intercept at (0, 0).

5. Rational:

$y = \dfrac{1}{x}$

When we put $x = 0\Rightarrow y \rightarrow \infty$

Therefore, it does not have intercept at (0, 0).

6. Exponential:

y = b^x

b is any base

When we put $x = 0\Rightarrow y =1$

Therefore, it does not have intercept at (0, 0).

7. Logarithmic:

y = logx

When we put $x = 0 \Rightarrow y\rightarrow$ Not defined

Therefore, it does not have intercept at (0, 0).

8. Cubic:

y = x^3

When we put $x = 0\Rightarrow y =0$

Therefore, it has intercept at (0, 0).

9. Cube Root:

$y = \sqrt[3]x$

When we put $x = 0\Rightarrow y =0$

Therefore, it has intercept at (0, 0).

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Which parent functions have an intercept at (0,0)Choose all that are correct. Linear
Quadratic
Radical
Absolute Value
Rational
Exponential
Logarithmic (Log)
Cubic
Cube Root

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