Questions: Match each function name with its equation. y = ∛x y = x y = x^3 y = √x y = x y = x^2 - y = 1/x a. Cubic b. Linear c. Cube root d. Reciprocal e. Reciprocal Squared f. Absolute Value g. Quadratic h. Square Root

Match each function name with its equation.
y = ∛x
y = x
y = x^3
y = √x
y = x
y = x^2
- y = 1/x
a. Cubic
b. Linear
c. Cube root
d. Reciprocal
e. Reciprocal Squared
f. Absolute Value
g. Quadratic
h. Square Root

Transcript text: Match each function name with its equation. $\square$ $y=\sqrt[3]{x}$ $\square$ $y=|x|$ $\square$ $y=x^{3}$ $\square$ $y=\sqrt{x}$ $\square$ $y=x$ $\square$ $y=x^{2}$ - $y=\frac{1}{x}$ a. Cubic b. Linear c. Cube root d. Reciprocal e. Reciprocal Squared f. Absolute Value g. Quadratic h. Square Root

Solution

Solution Steps

Step 1: Identify the function types

Cubic: \( y = x^3 \)
Linear: \( y = x \)
Cube root: \( y = \sqrt[3]{x} \)
Reciprocal: \( y = \frac{1}{x} \)
Reciprocal Squared: \( y = \frac{1}{x^2} \)
Absolute Value: \( y = |x| \)
Quadratic: \( y = x^2 \)
Square Root: \( y = \sqrt{x} \)

Step 2: Match each function with its equation

\( y = \sqrt[3]{x} \) matches with c. Cube root
\( y = x \) matches with b. Linear
\( y = x^3 \) matches with a. Cubic
\( y = \sqrt{x} \) matches with h. Square Root
\( y = |x| \) matches with f. Absolute Value
\( y = x^2 \) matches with g. Quadratic
\( y = \frac{1}{x} \) matches with d. Reciprocal
\( y = \frac{1}{x^2} \) matches with e. Reciprocal Squared

Final Answer

\( y = \sqrt[3]{x} \) - c. Cube root
\( y = x \) - b. Linear
\( y = x^3 \) - a. Cubic
\( y = \sqrt{x} \) - h. Square Root
\( y = |x| \) - f. Absolute Value
\( y = x^2 \) - g. Quadratic
\( y = \frac{1}{x} \) - d. Reciprocal
\( y = \frac{1}{x^2} \) - e. Reciprocal Squared

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