Key Features of Linear, Quadratic and Exponential Forms

Different functions are shown, in the forms of a graph,equation, or table of values. Decide whether each represents a linear or exponential function.

• Linear

• Exponential

Tags

CCSS.HSF.LE.A.2

What is the increasing interval for the function below?

Identify the y-intercept.

• (0,3)

• (3,0)

• (1,0)

• (2,-1)

Tags

CCSS.HSF-IF.C.7A

• What characteristics do linear, quadratic and exponential functions have alike and different?

Use complete sentences.

What characteristics do linear, quadratic and exponential functions have in common. (3 min) Select all that apply.

• (possible)

  y-intercept

• (possible)

  x-intercept

• axis of symmetry

• horizontal asymptote

• Vertex

Tags

CCSS.HSF-IF.C.7A

Write a quadratic equation given the x intercepts and one other point.

Step 1: Write the factors.

The intercepts of this function are (6, 0) and (8, 0). Write the factors.

• (x-6) and (x-8)

• (x+6) and (x+8)

• (x-6) and (x+8)

• (x+6) and (x-8)

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

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

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

• y-intercept, 3 feet

• y-intercept, 0 feet

• x-value of the vertex, 4 feet

• y-value of the vertex, 5 feet

Tags

CCSS.HSF-IF.C.7A

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

• x-value of vertex, 2 seconds

• y-value of vertex, 9 seconds

• y-intercept, 0 seconds

• x-intercept, 3.8 seconds