Table on a Graphing Calculator for Functions

What is one feature of Desmos that can help visualize equations?

• Text editor

• Graphing functions

• Sound effects

• Video tutorials

Over what interval is the function shown in the table decreasing? Use no spaces in your answer. Only use numbers and inequality signs.

Answer explanation

The parabola is opened upwards since a = 3. Although it is more narrow than the parent function, it is still decreasing on the interval

(-infinity, 0). Since we read from left to right, as we look at x values that are less than 0, as we get closer and closer to 0 the y values decrease. Therefore the interval x<0 is decreasing and x>0 is increasing.

This function is

• increasing

• decreasing

• increasing then decreasing

• decreasing then increasing

Which coordinate would qualify as the *absolute maximum* of this function?

• ∞

• (0, 4)

• 3

• (4, 0)

Identify where the function is increasing.

Which table represents a function?

• Table (1)

• Table (2)

• Table (3)

• Table (4)

Which statement is true about the quadratic functions g(x), shown in the table below, and f(x) = (x - 3)² + 2?

• They have the same vertex.

• They have the same zeros.

• They have the same axis of symmetry.

• They have the same y-intercept.

• -2 and -6

• -6 and -14

• -1 and 1

• 1 and 5

• -14 and -18

• -4 and -1

Tai uses his graphing calculator to find all the solutions to the equation shown below.

On Tai's graph, select ALL points that represent a solution of the equation.

Use your calculator to write an equation for the line of best fit for the table.