Blog

Graph f as a solid line and f-1 as a dashed line in the same rectangular coordinate space. Use interval notation to give the domain and range of f and f-1.f(x) = x2 – 1, x ≥ 0

Evaluate the piecewise function at the given value of the independent variable.g(x) =; g(-2)

Use the graph to find the indicated function value.y = f(x). Find f(2).

Evaluate the function at the given value of the independent variable and simplify.f(x) = 3×2 + 2x + 3;f(x – 1)

For the given functions f and g , find the indicated composition.f(x) = x2 – 2x – 5, g(x) = x2 + 2x – 5(f∘g)(-5)

Given functions f and g, perform the indicated operations.f(x) = 4×2 – 9x,g(x) = x2 – 4x – 45Find .

For the given functions f and g , find the indicated composition.f(x) = x2 – 2x – 5, g(x) = x2 + 2x – 1(f∘g)(-2)

For the given functions f and g , find the indicated composition.f(x) = x2 + 2x + 1, g(x) = x2 – 2x – 1(f∘g)(5)

Find and simplify the difference quotient for the given function.f(x) = x2 + 2x – 7

When studying cognitive development, Marlee learns about Piaget’s theory and Vygotsky’s theory. She believes that both theories raise valid points and feels they both contribute to our understanding of cognitive development. Marlee concludes that developmental psychologists can’t determine if the physical world or the social world influence cognition – it’s impossible to determine if either theory is accurate. What type of thinking is Marlee demonstrating?