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
failed

Solution

failed
failed

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

Final Answer

  1. \( y = \sqrt[3]{x} \) - c. Cube root
  2. \( y = x \) - b. Linear
  3. \( y = x^3 \) - a. Cubic
  4. \( y = \sqrt{x} \) - h. Square Root
  5. \( y = |x| \) - f. Absolute Value
  6. \( y = x^2 \) - g. Quadratic
  7. \( y = \frac{1}{x} \) - d. Reciprocal
  8. \( y = \frac{1}{x^2} \) - e. Reciprocal Squared
Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
A researcher studies water clarity at the same location in a lake on the same dates during the course of a year and repeats the measurements on the same dates 5 years later. The researcher immerses a weighted disk painted black and white and measures the depth (in inches) at which it is no longer visible. The collected data is given in the table below. Complete parts (a) through (c) below. Observation 1 2 3 4 5 6 Date 1 / 25 3 / 19 5 / 30 7 / 3 9 / 13 11 / 7 Initial Depth, Xi 45.7 41.7 47.3 45.9 38.2 68.9 Depth Five Years Later, Yi 43.2 40.8 43.4 47.6 33.7 71.0 Determine the test statistic for this hypothesis test. (Round to two decimal places as needed.) Find the P -value for this hypothesis test. P-value = (Round to three decimal places as needed.)
failedAnswered
∫ tan^(1 / 2)(13 x) sec^(2)(13 x) dx =
failedAnswered
Prepaid accounts are (assets/liabilities) that represent prepayments of future expenses and are increased on the (right/left) side of the accounting equation.
failedAnswered
Select all properties that apply to the trigonometric function. f(t)=sin (t) A. The function is odd. B. The domain is all real numbers excluding odd multiples of π/2. C. The period is π. D. The domain is all real numbers. E. The period is 2 π. F. The function is even. G. The domain is all real numbers excluding multiples of π.
failedAnswered
Graph. f(x) = 3/2 x