Key Feature of Functions

On which interval is the graph decreasing?

• [-5,-3]

• [-3,-1]

• [1,4]

• [5,∞)

Answer explanation

Which point (or points) is the line sloping down when it crosses through.

How many roots does the function have?

• None

• 1

• 2

• 3

Answer explanation

Each root is caused when the graph crosses the x axis. This example crosses the axis twice.

How high was the ball when it was thrown? Choose the key feature and the answer.

• y-intercept, 0 feet

• y-intercept, 3 feet

• x-value of the vertex, 4

• y-value of the vertex 5

Answer explanation

Look for when the ball started its travel. That is the height on the y axis.

What was the maximum height of the water? Choose the key feature and the answer.

• y-intercept, 0 feet

• x-value of the vertex, 2 feet

• y-value of the vertex 10 feet

• x-intercept. 3.85 feet

Answer explanation

The max height is 10 ft on the y-axis

What key feature tells the lowest point on the roller coaster?

• y-intercept

• vertex

• Axis of Symmetry

• x-intercept

Answer explanation

WE have a lot of names for the same thing. BTW, it isn't Axis of Symmetry since that is the point of reflection for the graph, not just the vertex.

Tags

CCSS.HSF-IF.C.7A

When did the ball reach its maximum height? Choose the key feature and the answer.

• y-intercept, 3 secs

• x-value of the vertex, 4 secs

• y-value of the vertex, 5 secs

• y-intercept, 0 secs

Answer explanation

Find the maximum on the graph. That is the max height also.

Find the function's x- and y-intercepts.

• x-int (0,-3) and (0,1)

  y-int (-4,0)

• x-int (-3,0) and (1,0)

  y-int (0,-4)

• x-int (-4, 1)

  y-int (-4, ∞)

• x-int (-3,0) and (1,0)

  y-int (0,-3)

Tags

CCSS.HSF-IF.C.7A

Find the function's maximum and minimum points

• no maximum

  minimum (-4,-1)

• no minimum

  maximum (-3, 1)

• no maximum

  minimum (-1,-4)

• maximum (-3,1)

  minimum (0,-3)

Identify the intervals where the function is positive and where it is negative.

• positive x > -1 and negative x < -1

• positive nowhere and negative -4 < x < -1

• positive x < -3 and x > 1 and negative -3 < x < 1

• positive R and negative x < -4

Tags

CCSS.HSF-IF.C.7A

Which coordinate is a relative maximum for the graph?

• None

• (0,4)

• (3,1)

• (1, -1)