Algebra Ch7.3 Review

Ch 7.3 Review

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Functions and Graphs

The Importance of Slope

Slope tells you much about a line

f(x) = mx + b

Positive slope, the line goes up from left to right

f(x) = -mx + b

Negative slope, the line goes down from left to right

f(x) = b

Slope of 0, the line is horizontal

x = a

Slope is undefined, the line is vertical

Match

Match each graph with its linear function.

y = 2x -3

f(x) = -0.5x + 3

f(x) = 5

• y = 2x -3

• f(x) = -0.5x + 3

• f(x) = 5

Multiple Choice

In 2016, an Apple iPhone 6 with 16GB of memory cost $550. American phone company Verizon Wireless, offered a plan allowing up to 3GB of data for $45 per month. Which mathematical model below best represents the total cost, of an iPhone 6 purchased in 2016 and using the Verizon 3-GB data plan? Let C(t) represent total cost and t represent time.

• $$C\left(t\right)=550t$$

• $$C\left(t\right)=595t$$

• $$C\left(t\right)=550+45t$$

• $$C\left(t\right)=45t$$

In 2016, an Apple iPhone 6 with 16GB of memory cost $550. American phone company Verizon Wireless, offered a plan allowing up to 3GB of data for $45 per month. Which mathematical model below best represents the total cost, of an iPhone 6 purchased in 2016 and using the Verizon 3-GB data plan? Let C(t) represent total cost and t represent time.

Dropdown

In 2016, an Apple iPhone 6 with 16GB of memory cost $550. American phone company Verizon Wireless, offered a plan allowing up to 3GB of data for $45 per month. Estimate the number of months it would take for the total cost, C(t), to reach $820.



It would take ​​

Select answer

months for the total cost to reach $820.

In 2016, an Apple iPhone 6 with 16GB of memory cost $550. American phone company Verizon Wireless, offered a plan allowing up to 3GB of data for $45 per month. Estimate the number of months it would take for the total cost, C(t), to reach $820.

Multiple Choice

Determine the domain and range of function $$f$$ , for $$f\left(x\right)=\frac{2}{3}x+6$$

• Domain: ℝ

  Range: ℝ

• Domain: $$\left\{x\text{|}x\ne-9\right\}$$

  Range: ℝ

• Domain: ℝ

  Range: $$\left\{6\right\}$$

Dropdown

Given the function $$g\left(x\right)=4$$ , the domain is ​

Select answer

and the range is ​

Select answer

Match

Match the description that best fits the graph of the function.

• $$f\left(x\right)=x+3$$

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

• $$f\left(x\right)=-x+3$$

• $$f\left(x\right)=x^2+3$$

• $$f\left(x\right)=3$$

A line that goes up from left to right

A graph that makes a V-shape

A line that goes down from left to right

A graph that makes a U-shape

A horizontal line

• A line that goes up from left to right

• A graph that makes a V-shape

• A line that goes down from left to right

• A graph that makes a U-shape

• A horizontal line

Multiple Choice

Choose the graph of the function $$f\left(x\right)=\left|x\right|+2$$

Dropdown

The domain of the function $$f\left(x\right)=3x^5-2x^2+7$$ is ​

Select answer