Linear, Quadratic, Exponential Functions Graphs

Which parent function matches the graph?

• y = |x|

• y = ∛(x)

• y = x²

• y = a⋅b^x

Which statement is true about the graphs of exponential functions?

• The graphs of exponential functions never exceed the graphs of linear and quadratic functions.

• The graphs of exponential functions always exceed the graphs of linear and quadratic functions.

• The graphs of exponential functions eventually exceed the graphs of linear and quadratic functions.

• The graphs of exponential functions eventually exceed the graphs of linear functions but not quadratic functions.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Which statement compares the graphs of f(x) and g(x) over the interval [0, 5]?

• The graph of f(x) always exceeds the graph of g(x) over the interval [0, 5].

• The graph of g(x) always exceeds the graph of f(x) over the interval [0, 5].

• The graph of g(x) exceeds the graph of f(x) over the interval [0, 4], the graphs intersect at a point between 4 and 5, and then the graph of f(x) exceeds the graph of g(x).

• The graph of f(x) exceeds the graph of g(x) over the interval [0, 4], the graphs intersect at a point between 4 and 5, and then the graph of g(x) exceeds the graph of f(x).

Tags

CCSS.HSA.REI.D.12

If the parent function is f(x) = mx + b, what is the value of the parameter m for the line passing through the points (–2, 7) and (4, 3)?

• -9

• -3/2

• -2

• -2/3

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

What is the range of the graph of f(x) = –3(x – 4)?

• (–3, 4)

• (–3, ∞)

• (–∞, 4)

• (–∞, ∞)

If f(12) = 4(12) – 20, which function gives f(x)?

• f(x) = 4x² – 20

• f(x) = 4^x – 20

• f(x) = 4x – 20

• f(x) = 4x² + 12x – 20

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

The graph shows the height, y, in meters, of a rocket above sea level in terms of the time, t, in seconds, since it was launched. The rocket landed at sea level.

What does the x-intercept represent in this situation?

• the height from which the rocket was launched

• the time it took the rocket to return to sea level

• the total distance the rocket flew while it was in flight

• the time it took the rocket to reach the highest point in its flight

Which parent function matches the graph? 

• f(x) = x

• f(x) = x²

• f(x) =√(x)

• f(x) =∛(x)

What is the green dot on the parabola called?

• relative maximum

• relative minumum

• axis of symmetry

• mountain

Which of the following parent functions have a domain and range of all real numbers? SELECT ALL THAT APPLY

• Constant

• Quadratic

• Linear

• Cubic

• Exponential