Lesson 11 All Things Being Equal Develop Understanding

Ready

Find the features for each function represented with a graph.

1.

Graph shows the distance traveled during a family’s road trip.

A continuous graph made up of 5 connected line segments Time (hours)555101010151515202020Distance555101010000

Intervals of Increase:

Intervals of Decrease:

Maximum:

Minimum:

Domain:

Range:

2.

Graph shows actual and projected account balance for a charge account with today marked as day .

2) A continuous graph, beginning at (-11, 2) it curves down to approximately (-5.5, -1) where it begins to curve upward to (2, 2). At (2, 2) it becomes a line segment, ending at (6, 1). Time (days)–10–10–10–5–5–5555101010Balance ($)–5–5–5555000

Intervals of Increase:

Intervals of Decrease:

Maximum:

Minimum:

Domain:

Range:

Set

Use the given graphs to find the vertex form of the equation. Use the equation to find the exact -intercepts.

3.

A parabola with vertex at (1, -3) and passing through (-1, 1) and (3, 1) x–5–5–5555y–5–5–5555000

Vertex form of equation:

-intercepts:

4.

A parabola with vertex at (-2, -5) and passing through (-5, 4) and (1, 4) x–5–5–5555y–5–5–5555000

Vertex form of equation:

-intercepts:

5.

A parabola with vertex at (3, 7) and passing through (1, 3) and (5, 3) x–5–5–5555y–5–5–5555000

Vertex form of equation:

-intercepts:

6.

A parabola with vertex at (-2, 2) and passing through (-4, -2) and (0, -2) x–5–5–5555y–5–5–5555000

Vertex form of equation:

-intercepts:

Solve the following equations by factoring.

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Go

Use the given functions to find the missing values. Graph each equation using technology to check your answers.

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