Which form represents slope-intercept form?

A x + B y = C Ax+By=C A x + B y = C

y 2 − y 1 = m ( x 2 − x 1 ) y_2-y_1=m\left(x_2-x_1\right) y 2 − y 1 = m ( x 2 − x 1 )

The diagram shows the function f(x) = 3 x + 2. How could you name an ordered pair of this function.

Option 1: Plug the function into the calculator and look at the table.

Option 2: Randomly write down your favorite numbers.

Option 3: Plug in zero for x, which gives an y output of 3 (1+2) for the point (0, 3)

What is it about the equation y = 2(9/7) x that indicates that it is a model for exponential growth?

The equation is growth because the factor is greater than one.

The equation is growth because 2 is positive.

The equation is growth because the factor is positive.

The equation is growth because the exponent is always positive.

Consider the equation y=200(1.08) x which models the increase in value of an autographed Annie program. Let y = the value of the item, let x = the number of years since the performance. What does the 1.08 in the equation indicate?

The value of the item is increasing by 8% each year.

The value of the item is increasing by $1.08 each year.

The value of the item is increasing by 1.08% each year.

The value of the item will increase to $200 1.08 years after purchase.

What is an asymptote?

an imaginary horizontal line that helps define where the graph will approach, but never reach.

A special bag used by hikers and athletes to carry valuables.

an imaginary vertical line that helps define the reflection of a graph.

another term for vertical intercept.

How can you find the vertical intercept of a graph?

Option 1: Enter the function into the calculator and look for the value of y where x is zero.

Option 2: Plug in zero for x (easy mental math because anything raised to the zero power is one) and calculate y.

Option 3: Use the trace feature on the calculator.

If you were asked to write an exponential function with an asymptote of y = - 2, what must you include in your equation?

Subtract 2 from any exponential expression. Ex. y = (4) x - 2

Add 2 to any exponential expression. Ex. y = (4) x + 2

Raise the expression to the power of -2. Ex. y = x -2

Subtract .02 from 1 to get a decay factor. Ex. y = (1 - .02) x

This graph models y = (0.2) x - 3. Which statement describes what happens to the y value as x increases?

As the value of x becomes very large, the value of y approaches -3.

As the value of x becomes very large, the value of y approaches - 0.2.

As the value of x becomes very large, the value of y approaches -2.

As the value of x becomes very large, the value of y will gradually decrease to negative infinity.

If you are given the following tables, how would you fill in the missing values?

Find the first difference for the linear table and use that to find the other y values and for the exponential table find the common ratio and use that to find the other y values.

Find the common difference for the linear table and use that to find the other y values and for the exponential table find the first difference and use that to find the other y values.

Use the second difference to find the linear table values and the third difference to find the exponential table values.

What parts of a linear equation could you find in a table?

The slope is found as the first difference in the table, and the y-intercept is where x=0.

The slope is found as the first difference in the table, and the y-intercept is where y=0.

The slope is found as the common ratio in the table, and the y-intercept is where y = 0.

What parts of an exponential equation could you find in a table?

The factor is found as the first difference in the table, and the value of a is where x=0.

The factor is found as the first difference in the table, and the value of a is where y=0.

The factor is found as the common ratio in the table, and the value of a is where y = 0.

Consider the equation y = 4(1.67) x where y is the area covered by mutant venus fly trap plants and x is the number of years since they were discovered. Which of the following statements is true?

If x = 0, there are 4 square kilometers of island covered by mutant venus fly traps.

If x = 0, all the mutant venus fly trap plants have been killed by an herbicide.

If x = 0, the x-intercept of the graph of the scenario is (0 , 0)

If x = 0, there are 1.67 square kilometers covered by mutant venus fly trap plants.

Exponential functions- everything :D

Quiz

•

Practice Problem

•

Hard

Trishska :D

FREE Resource

80 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What type of pattern do exponential functions have?

Adds by the same number every time

Multiplies by the same number every time

Square roots all the inputs

Squares all the inputs

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What type of pattern do linear functions have?

Adds by the same number every time

Multiplies by the same number every time

Square roots all the inputs

Squares all the inputs

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Is the graph linear, exponential or neither?

Linear

Exponential

Neither

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Is the graph linear, exponential, or neither?

Linear

Exponential

Neither

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

In an exponential function, what does the 'a' represent?

Slope

Rate of change

Y-intercept

Multiplier

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

In an exponential function, what does the 'b' represent?

Slope

Rate of change

Y-intercept

Multiplier

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Is the table linear, exponential, or neither?

Linear

Exponential

Neither

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