Functions, Domain and Range

What is a function?

• For every input, there is exactly one output.
• For every output, there is exactly one input.
• When there is a polynomial expression
• When the degree of the polynomial is even.

Tags

CCSS.HSF.IF.A.1

What is the domain of a polynomial function?

• It depends on the degree of the function being even or odd.
• [0,∞)
• (-∞,∞)
• It depends on the vertex

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5

What is the domain of the following function: f(x)=3x-1

• [-1,3]
• (-∞,∞)
• (-1,∞)
• (-∞,-1)

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5

Which of the following functions have the range of all real numbers?

• f(x)=3x²+7x-1
• f(x)=√x-1
• f(x)=x³
• f(x)=5x⁴-10

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the domain of the following graph?

• (-∞,∞)
• (-∞,4]
• (-∞,3]
• [-2.5,4]

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

What is the domain?

• The set of all input values
• The set of all output values

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

What is the domain of the following function: ƒ(x)=√(x-10)

• (-∞,∞)
• [10,∞)
• [0,∞)
• [0,10]

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5

What is the name of the following function? 

• Square Root
• Cubic
• Linear
• Quadratic

Tags

CCSS.HSA.REI.D.10

Evaluate f(3) given f(x)=3x-1

• 6
• 7
• 8
• 9

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

f(x)=x² and g(x)=4x-7
Find g(f(x))

• 4x³-7x²
• x²+4x-7
• 4x²-56x+28
• 4x²-7

Tags

CCSS.HSA.APR.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2