College Algebra Lesson

​Math 1111 - College Algebra

use for Test review​

by Teresa Fuston

Draw

What is the slope formula?

Open Ended

Write a story that describes the gives graph.

Multiple Choice

Mai launches a rocket straight up into the air.

The below gives the height H(t) of the rocket

(in meters) at a few times t (in seconds)

during its flight. 

Find the average rate of change for the height

from 5.6 seconds to 8.4 seconds.s

• -35 m/sec

• 35 m/sec

• -0.03 m/sec

• 0.03 m/sec 

​

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Multiple Choice

Use substitution to solve the system.

$$x=3y−4$$  

$$5x+4y=37$$  

• $$\left(3,\ 5\right)$$  

• infinitely mant solutions

• no solution

• $$\left(5,\ 3\right)$$  

​Solution:

Fill in the Blanks

The graph of function  $f$   is shown.

Find   $f\left(1\right).$  

Multiple Choice

Which function is shown in the graph?

• $$y=x^3$$  

• $$y=x^2$$  

• $$y=\frac{1}{x}$$  

• $$y=\sqrt[]{x}$$  

Multiple Choice

The graph of $$f$$   (in blue) is translated horizontally and vertically to obtain the graph of $$h$$   (in red). The function $$f$$   is defined by $$f\left(x\right)=\left|x\right|$$   .

Write down the expression for $$h\left(x\right)$$   .

• $$h\left(x\right)=\left|x-2\right|+3$$  

• $$h\left(x\right)=\left|x-2\right|-3$$  

• $$h\left(x\right)=\left|x+2\right|-3$$  

• $$h\left(x\right)=\left|x+2\right|+3$$  

Multiple Select

Select ALL symmetries that apply.

• x-axis

• y-axis

• origin

• none of these

Fill in the Blanks

Suppose that the function  $g$   is defined, for all real numbers, as given.

Find  $g\left(-2\right)$  .

​Solution:

Fill in the Blanks

Suppose that the function  $g$   is defined, for all real numbers, as given.

Find  $g\left(-3\right)$  .

​Solution:

Multiple Choice

Determine the interval(s) on which the function is (strictly) increasing. Write your answer as an interval notation.

• $$\left(-5,\ 2\right)$$  

• $$\left(2,\ 3\right)$$  

• $$\left(3,\ \infty\right)$$  

​Solution:

Multiple Choice

Determine the interval(s) on which the function is (strictly) constant. Write your answer as an interval notation.

• $$\left(-5,\ 2\right)$$  

• $$\left(2,\ 3\right)$$  

• $$\left(3,\ \infty\right)$$  

​Solution:

Multiple Choice

Determine the interval(s) on which the function is (strictly) decreasing. Write your answer as an interval notation.

• $$\left(-5,\ 2\right)$$  

• $$\left(2,\ 3\right)$$  

• $$\left(3,\ \infty\right)$$  

​Solution:

Multiple Choice

Graph the given function.

​Solution: