Functions
Is f(x)=x2 a one-to-one function? Why or why not?
No, horizontal line test. It crosses it twice.
Find the domain of f(x)=√(x-1)
Domain: [1,∞)
Let f(x)=2x+1, find f(z+4)
f(z+4)=2z+9
Find the domain of f(x) = x / (x² - 9).
Domain: (-∞, -3) ∪ (-3, 3) ∪ (3, ∞)
Is the graph of a circle a function? Why or why not?
No, because it doesn’t pass the vertical line test
Find the range of f(x) = |x-2| + 3
Range: [3, ∞)
f(g(x))=2x+3 and g(x)=x2, find f(x)
f(x)=2√x+3
Find the domain and range of f(x) = √((x-1)/(x+2))
Domain: (-∞, -2) ∪ [1, ∞)
Range: [0, ∞)