Exponential Functions Checkpoint

In an exponential function of the form
f(x) = a⋅b^x,
what happens when b > 1?

• The graph hugs the y-axis and points to +∞
• The graph hugs the y-axis and points to −∞
• The graph hugs the x-axis on the left and increases on the right
• The graph hugs the x-axis on the right and increases on the left

In an exponential function of the form
f(x) = a⋅b^x,
what happens when 0 < b < 1?

• The graph hugs the y-axis and points to +∞
• The graph hugs the y-axis and points to −∞
• The graph hugs the x-axis on the left and increases on the right
• The graph gets closer and closer to the x-axis as x increases

What is the equation of the graph?

• y = 2⋅5^x
• y = 5^x
• y = 2^x
• y = 5⋅2^x

In the equation
y = a⋅b^x,

• a is the horizontal shift
• a is the y-intercept
• a is the common ratio
• a is always a fraction

What is the equation of the graph?

• y = 4x^1/2
• y = 1/2⋅(4)^x
• y = 4⋅(1/2)^x
• y = 4⋅(1/8)^x

In the equation
y = a⋅b^{x - h} + k,

• a is the common ratio
• b is the common ratio
• h is the common ratio
• k is the common ratio

What is the equation of the graph?

• y = 3⋅(1/2)^x
• y = 1/3⋅(3)^x
• y = 5⋅(1/2)^x
• y = 3⋅(1/5)^x

In the equation
y = a⋅b^{x - h} + k,

• a is the horizontal shift
• b is the y-intercept
• h is the horizontal shift
• k is the horizontal shift

What is the equation of the graph?

• y = 2⋅4^x
• y = 4⋅4^x
• y = 2⋅2^x
• y = 2⋅3^x

In the equation
y = a⋅b^{x - h} + k,

• a is the vertical shift
• b is the vertical shift
• h is the vertical shift
• k is the vertical shift