Questions from Calculus

Q: Test for symmetry with respect to each axis and to the origin

Test for symmetry with respect to each axis and to the origin. xy = −2

Q: Find any intercepts and test for symmetry. Then sketch the graph

Find any intercepts and test for symmetry. Then sketch the graph of the equation. y = −1/2x + 3

Q: Determine whether the statement is true or false. If it is

Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. The graph of a function of x cannot have symmetry with respect to the x-axis.

Q: Find any intercepts. y = (x − 1

Find any intercepts. y = (x − 1)√x2 + 1

Q: Find any intercepts and test for symmetry. Then sketch the graph

Find any intercepts and test for symmetry. Then sketch the graph of the equation. y = −x2 + 4

Q: Find any intercepts and test for symmetry. Then sketch the graph

Find any intercepts and test for symmetry. Then sketch the graph of the equation. y = 9x − x3

Q: Find any intercepts and test for symmetry. Then sketch the graph

Find any intercepts and test for symmetry. Then sketch the graph of the equation. y2 = 9 – x

Q: Find any intercepts and test for symmetry. Then sketch the graph

Find any intercepts and test for symmetry. Then sketch the graph of the equation. y = 2 √4-x

Q: Sketch a graph of the function and find its domain and range

Sketch a graph of the function and find its domain and range. Use a graphing utility to verify your graph. f(x) = √9 − x2

Q: Find any intercepts and test for symmetry. Then sketch the graph

Find any intercepts and test for symmetry. Then sketch the graph of the equation. y = │x − 4│ − 4