Algebra - Exponential Function Practice

If you have an exponential function in basic form, 'a' is the...

• y - intercept.

• x - intercept.

• the factor you multiply by each time you add one to the input.

What is the value of 'b' in the exponential relationship? (-1, -3), (0, -9), (1, -27), (2, -81)

• b = 3

• b = -3

• b = -9

What is the value of 'a' in the exponential relationship? (-1, -3), (0, -9), (1, -27), (2, -81)

• a = 3

• a = -3

• a = -9

In the general form of an exponential function, y = ab^{x - h} + k, if 'a' is negative, the transformation is...

• a reflection in the x-axis.

• a vertical stretch or shrink.

• a horizontal translation.

• a vertical translation.

In the general form of an exponential function, y = ab^{x - h} + k, if b > 1, the graph will ______________ from left to right.

• increase

• decrease

In the general form of an exponential function, y = ab^{x - h} + k, if 0 < b < 1, the graph will ______________ from left to right.

• increase

• decrease

In the general form of an exponential function, y = ab^{x - h} + k, you can translate 4 units to the right from the parent function by substituting 4 in for h. What would the function look like?

• y = ab^{x - 4} + k

• y = ab^{x + 4} + k

Is the relation linear or exponential? (1, 2), (2, 4), (3, 6), (4, 8)

• Linear.

• Exponential.

Write an exponential function in basic form to describe the relation: (-2, 1), (-1, 4), (0, 16), (1, 64)

• f(x) = 16(4)^x

• f(x) = 4(16)^x

• f(x) = (4)^x

• f(x) = (16)^x

If f(x) = (3)^x, describe the transformations to

 $f\left(x\right)\ =\ -2\left(3\right)^{x-3}\ -2$  

• Reflection in the x-axis, v. stretch by a factor of 2, h. translation right 3, v. translation down 2.

• Reflection in the x-axis, v. shrink by a factor of 2, h. translation right 3, v. translation down 2.

• Reflection in the x-axis, v. stretch by a factor of 2, h. translation left 3, v. translation down 2.

• Reflection in the x-axis, v. stretch by a factor of 2, h. translation right 3, v. translation up 2.