Sketching and Interpreting Functions

A savings account balance can be modeled by the graph of the linear function shown on the grid. What is the rate of change of the balance with respect to the number of deposits?

• $100 per deposit

• $50 per deposit

• $0.50 per deposit

• $2 per deposit

Function p is in the form y =ax² + c. If the values of a and c are both less than 0, which graph could represent p?

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Linear function f(x) = x is graphed on a coordinate plane. The graph of a new line is formed by changing the slope of the original line to ²/₃ and the y-intercept to 4. Which statement about the relationship between these two graphs is true?

• The graph of the new line is steeper than the graph of the original line, and the y-intercept has been translated down.

• The graph of the new line is less steep than the graph of the original line, and the y-intercept has been translated up.

• The graph of the new line is steeper than the graph of the original line, and the y-intercept has been translated up.

• The graph of the new line is less steep than the graph of the original line, and the y-intercept has been translated down.

The table shows some ordered pairs that belong to quadratic function h. What is the range of h?

• All real numbers

• All real numbers greater than or equal to 7

• All real numbers greater than or equal to 8

• All real numbers greater than or equal to 0

What is the y-intercept of the line graphed on the grid?

• 5.5

• 7.5

• ^{- 4}/₃

• - ⁸/₆

The exponential function modeled above represents the number of square kilometers of land occupied by cane toads x years after this animal was first introduced into Australia.

Based on the data, which measurement is closest to the number of square kilometers of land that will be occupied by cane toads 40 years after this animal was first introduced into Australia?

• 550,000 km²

• 1,250,000 km²

• 600,000 km²

• 800,000 km²

The table represents some points on the graph of a linear function. What is the rate of change of y with respect to x for this function?

• ²/₉

• -⁹/₂

• ⁹/₂

• -²/₉

The graph of an exponential function is shown on the grid. Based on the graph, which statement about the function is true?

• The range is the set of all real numbers less than 0.

• The domain is the set of all real numbers greater than -4.

• The range is the set of all real numbers greater than 0.

• The domain is the set of all real numbers less than -4.

Which graph represents -3x + 5y = -15?

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Given f(x) = 6(1 - x), what is the value of f(-8)?

• -42

• 54

• 42

• -54