Basics of Functions

Find the standard form of the function graphed here:

• y = x⁴ + 4

• y = x⁴ - 3x³ + 4

• y = x⁴ - 5x² + 4

• y = x⁴ - 5x³ + 4x

Which of the following helps determine end behavior?

• The leading term

• The number of terms in the function

• The y-intercept

• The x-intercepts

Find the factored form of the function graphed:

• y = -(x + 1)(x - 1)(x - 2)

• y= (x + 1)²(2 - x)

• y = (-x + 1)²(x - 2)

• y = -(x - 1)²(x + 2)

What is the domain of the graph?

• 1≤ x ≤ 4

• 1 < x < 4

• 1≤ y ≤ 4

• 1 < y < 4

Is this a function? Explain.

• Yes; it passes the horizontal line test.

• No; it is not a straight line.

• Yes; it passes the vertical line test.

• No; there is a line connecting the dots.

If h(a) = 3 - 2a

Find h(-3).

• 12

• -2

• -3

• 9

If f(x)=6x²-4,
what is f(0)?

• -4

• 4

• 0

• 2

What is x if
f(x) = -2?

• 4

• 0

• 3

• 8

What is f(1)?

• 1

• 5

• 0

• 4