Functions And Relations Properties of Linear Functions Equations

Functions And Relations Properties of Linear Functions Equations of Linear Functions As Models Forms of Linear Functions 1 pt 1 pt 2 pt 2 pt 3 pt 3 pt 4 pt 4 pt 5 pt 5 pt

What is the definition of a relation?

Any set of ordered pairs.

What is the definition of a function?

For every input, there is exactly one output.

Is the following equation a function? If so, state the range. Y=x-3

It is a Function Range y > 0

In the function x + y = 2, over the domain -1 < x < 3, tell the corresponding range.

Tell the range and domain of the following relation 86 -9 -2 7

What is the effect on the graph of changing the x – coefficient?

It changes the tilt (slope) of the graph

What is the effect on the graph of changing the constant term?

It changes where the line crosses the y – axis.

Name an equation of a line that has a slope that is infinitely large.

Name an equation of a line that does NOT have a y-intercept.

True or False If a line has a positive slope, you must rise a certain number of units and then run to the right a certain number of units.

False

Find an equation in slopeintercept form of a line going through the points (- 4, 5), (6, 10).

Write an equation of a line in standard form going through the point (- 2, 7) and is perpendicular to 3 x + 4 y = 72.

- 4 x + 3 y = 29

Write an equation in slopeintercept form of a line that has an x-intercept of 5 and a slope of – 2/3.

Y = -2/3 x + 10/3

Write an equation in slopeintercept of a line containing (5, 8) and is parallel to 2 x + 3 y = 9.

Y = -2/3 x + 34/3

You have one hour to make cookies for your school bake sale. You spend 20 minutes mixing the dough. It then takes 12 minutes to bake each tray of cookies. If you bake one tray at a time, what model can you use to find how many trays you can bake?

12 x + 20 = 60

Handy Andy sells 23 oz cans of ranch style beans for 63 cents and 15 oz cans for 45 cents. Assume that the price varies linearly with the number of ounces. Write the particular equation in slope intercept form.

C = 9/4 w + 45/4

Handy Andy sells 23 oz cans of ranch style beans for 63 cents and 15 oz cans for 45 cents. Assume that the price varies linearly with the number of ounces. A 52 oz can costs $1. 39. According to your model, is this can over or under – priced? By how much?

Over – Priced by 11 cents.

Handy Andy sells 23 oz cans of ranch style beans for 63 cents and 15 oz cans for 45 cents. Assume that the price varies linearly with the number of ounces. Suppose that an “individual serving” can was priced at $0. 21. About how many oz. of beans would you expect to get?

4 oz

Handy Andy sells 23 oz cans of ranch style beans for 63 cents and 15 oz cans for 45 cents. Assume that the price varies linearly with the number of ounces. What is the weight intercept?

Handy Andy sells 23 oz cans of ranch style beans for 63 cents and 15 oz cans for 45 cents. Assume that the price varies linearly with the number of ounces. What is the price intercept?

(0, 45/4)

Define slope-intecept form?

Y = mx + b, where m is the slope of the line and b is where the line crosses the y-axis

True or False There is only one slopeintercept form for each equation.

True A line only has one slope and crosses the y-axis in one spot.

True or False, if False, correct. The definition of standard form is Ax + By = C, where A, B, C are integers.

False, A, B and C are constants

True or False You can change slopeintercept form into point-slope form.

True Just get an ordered pair out of SIF and change to PSF.

True of False, correct if false. The C is Standard Form ends up being your y-intercept of your line.

False C/B is y-intercept